Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 5^x=8^x
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Equation -27x+220=-5x
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Equation x+12=5
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Equation 3/(x-5)+8/x=2
- Express {x} in terms of y where:
- 12*x+1*y=15
- -16*x-10*y=4
- -4*x-20*y=10
- 19*x+6*y=8
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Identical expressions
- (3x+ eight) seven = six (one -4x)
- (3x plus 8)7 equally 6(1 minus 4x)
- (3x plus eight) seven equally six (one minus 4x)
- 3x+87=61-4x
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Similar expressions
- (3x-8)7=6(1-4x)
- (2,61-4x):0,03=85,4
- (3x+8)7=6(1+4x)
- 6*(1-4*x)=0
(3x+8)7=6(1-4x) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
(3*x + 8)*7 = 6*(1 - 4*x)
$$7 \left(3 x + 8\right) = 6 \left(1 - 4 x\right)$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Move free summands (without x)
from left part to right part, we given:
$$21 x = - 24 x - 50$$
Move the summands with the unknown x
from the right part to the left part:
$$45 x = -50$$
Divide both parts of the equation by 45
We get the answer: x = -10/9
(3*x+8)*7 = 6*(1-4*x)
Expand brackets in the left part
3*x*7+8*7 = 6*(1-4*x)
Expand brackets in the right part
3*x*7+8*7 = 6*1-6*4*x
Move free summands (without x)
from left part to right part, we given:
$$21 x = - 24 x - 50$$
Move the summands with the unknown x
from the right part to the left part:
$$45 x = -50$$
Divide both parts of the equation by 45
x = -50 / (45)
We get the answer: x = -10/9
Sum and product of roots
[src]
sum
-10/9
$$- \frac{10}{9}$$
=
-10/9
$$- \frac{10}{9}$$
product
-10/9
$$- \frac{10}{9}$$
=
-10/9
$$- \frac{10}{9}$$
-10/9