Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^2+7x=0
-
Equation sin(x)=pi/2
-
Equation 5-2/5x=11
- Equation x+y-4=0
- Express {x} in terms of y where:
- -17*x+2*y=-4
- -7*x+15*y=18
- 6*x+7*y=-10
- 4*x+12*y=-11
-
Identical expressions
- four (3x+ five)- fourteen = two (x- seven)
- 4(3x plus 5) minus 14 equally 2(x minus 7)
- four (3x plus five) minus fourteen equally two (x minus seven)
- 43x+5-14=2x-7
-
Similar expressions
- 4(3x+5)+14=2(x-7)
- log_5(2x-7)=3
- 4(3x+5)-14=2(x+7)
- 4(3x-5)-14=2(x-7)
- (2x-7)(x+1)+3(4x-1)(4x+1)=2(5x-2)^2-53
- 4x+9=5*(2x-7)-6x
- 4x+5=2x-7
4(3x+5)-14=2(x-7) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
4*(3*x + 5) - 14 = 2*(x - 7)
$$4 \cdot \left(3 x + 5\right) - 14 = 2 \left(x - 7\right)$$
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:
Move free summands (without x)
from left part to right part, we given:
$$12 x = 2 x - 20$$
Move the summands with the unknown x
from the right part to the left part:
$$10 x = -20$$
Divide both parts of the equation by 10
We get the answer: x = -2
4*(3*x+5)-14 = 2*(x-7)
Expand brackets in the left part
4*3*x+4*5-14 = 2*(x-7)
Expand brackets in the right part
4*3*x+4*5-14 = 2*x-2*7
Looking for similar summands in the left part:
6 + 12*x = 2*x-2*7
Move free summands (without x)
from left part to right part, we given:
$$12 x = 2 x - 20$$
Move the summands with the unknown x
from the right part to the left part:
$$10 x = -20$$
Divide both parts of the equation by 10
x = -20 / (10)
We get the answer: x = -2
Sum and product of roots
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sum
0 - 2
$$-2 + 0$$
=
-2
$$-2$$
product
1*-2
$$1 \left(-2\right)$$
=
-2
$$-2$$
-2
The graph