(x-2)(x+7)=x-2

Simple and best practice solution for (x-2)(x+7)=x-2 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (x-2)(x+7)=x-2 equation: 


Simplifying
(x + -2)(x + 7) = x + -2

Reorder the terms:
(-2 + x)(x + 7) = x + -2

Reorder the terms:
(-2 + x)(7 + x) = x + -2

Multiply (-2 + x) * (7 + x)
(-2(7 + x) + x(7 + x)) = x + -2
((7 * -2 + x * -2) + x(7 + x)) = x + -2
((-14 + -2x) + x(7 + x)) = x + -2
(-14 + -2x + (7 * x + x * x)) = x + -2
(-14 + -2x + (7x + x2)) = x + -2

Combine like terms: -2x + 7x = 5x
(-14 + 5x + x2) = x + -2

Reorder the terms:
-14 + 5x + x2 = -2 + x

Solving
-14 + 5x + x2 = -2 + x

Solving for variable 'x'.

Reorder the terms:
-14 + 2 + 5x + -1x + x2 = -2 + x + 2 + -1x

Combine like terms: -14 + 2 = -12
-12 + 5x + -1x + x2 = -2 + x + 2 + -1x

Combine like terms: 5x + -1x = 4x
-12 + 4x + x2 = -2 + x + 2 + -1x

Reorder the terms:
-12 + 4x + x2 = -2 + 2 + x + -1x

Combine like terms: -2 + 2 = 0
-12 + 4x + x2 = 0 + x + -1x
-12 + 4x + x2 = x + -1x

Combine like terms: x + -1x = 0
-12 + 4x + x2 = 0

Factor a trinomial.
(-6 + -1x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-6, 2}

See similar equations:

| 2+16q=50 | | -3(2c)+4(5c)+11=81 | | 3=t+11.5-t | | 5/28=h/36 | | x+3.5=9.0 | | A=JP | | 22.47/0.7 | | -3.2=t+(0.2) | | 9x+6-7(x+1)=6x+2 | | 4/5+65/7-97/9 | | 8x^3y^4-6x^2y^3= | | 2/35=h/65 | | 1/7(6t-9)=t+9/14 | | 9x-2(4x+5)=2x-(4-x)-12 | | 5(z+4)+6z=97 | | 2/x+1=8/12 | | 12.92/3.4 | | 5/5x+6/5x=33 | | -43-(13)=x/2 | | 14x=736 | | a=(20-2x) | | x^2+14= | | x^2+14x | | 7p=50+5p | | m/3=9/4 | | -5(4y-6)-y=-3(y-4) | | 1/2(8x+10) | | 0.50(9.0+-1y)+0.20y=3.45 | | 4/3y+9+y-3/2y-6=-2 | | 10=5x+3x-8 | | W^2-8w+24=0 | | 17x+8=4(4x+1) |

Equations solver categories