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Other calculators
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How to use it?
- Equation:
-
Equation x^2/(x+6)=1/2
- Equation x+y-3=0
-
Equation -27x+220=-5x
-
Equation x^3=4
- Express {x} in terms of y where:
- 6*x-2*y=20
- -1*x+6*y=-20
- 7*x-6*y=-2
- -2*x-9*y=10
-
Identical expressions
- eighteen - two (six x- four)=- three +6(x+ seven)
- 18 minus 2(6x minus 4) equally minus 3 plus 6(x plus 7)
- eighteen minus two (six x minus four) equally minus three plus 6(x plus seven)
- 18-26x-4=-3+6x+7
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Similar expressions
- 18+2(6x-4)=-3+6(x+7)
- 18-2(6x-4)=-3-6(x+7)
- 18-2(6x+4)=-3+6(x+7)
- 18-2(6x-4)=+3+6(x+7)
- 18-2(6x-4)=-3+6(x-7)
18-2(6x-4)=-3+6(x+7) equation
The teacher will be very surprised to see your correct solution 😉
The solution
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[src]
18 - 2*(6*x - 4) = -3 + 6*(x + 7)
$$18 - 2 \left(6 x - 4\right) = 6 \left(x + 7\right) - 3$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Looking for similar summands in the left part:
Looking for similar summands in the right part:
Move free summands (without x)
from left part to right part, we given:
$$- 12 x = 6 x + 13$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-18\right) x = 13$$
Divide both parts of the equation by -18
We get the answer: x = -13/18
18-2*(6*x-4) = -3+6*(x+7)
Expand brackets in the left part
18-2*6*x+2*4 = -3+6*(x+7)
Expand brackets in the right part
18-2*6*x+2*4 = -3+6*x+6*7
Looking for similar summands in the left part:
26 - 12*x = -3+6*x+6*7
Looking for similar summands in the right part:
26 - 12*x = 39 + 6*x
Move free summands (without x)
from left part to right part, we given:
$$- 12 x = 6 x + 13$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-18\right) x = 13$$
Divide both parts of the equation by -18
x = 13 / (-18)
We get the answer: x = -13/18
Sum and product of roots
[src]
sum
-13 ---- 18
$$- \frac{13}{18}$$
=
-13 ---- 18
$$- \frac{13}{18}$$
product
-13 ---- 18
$$- \frac{13}{18}$$
=
-13 ---- 18
$$- \frac{13}{18}$$
-13/18