(x+10)(x-9)=x+10

Simple and best practice solution for (x+10)(x-9)=x+10 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+10)(x-9)=x+10 equation: 


Simplifying
(x + 10)(x + -9) = x + 10

Reorder the terms:
(10 + x)(x + -9) = x + 10

Reorder the terms:
(10 + x)(-9 + x) = x + 10

Multiply (10 + x) * (-9 + x)
(10(-9 + x) + x(-9 + x)) = x + 10
((-9 * 10 + x * 10) + x(-9 + x)) = x + 10
((-90 + 10x) + x(-9 + x)) = x + 10
(-90 + 10x + (-9 * x + x * x)) = x + 10
(-90 + 10x + (-9x + x2)) = x + 10

Combine like terms: 10x + -9x = 1x
(-90 + 1x + x2) = x + 10

Reorder the terms:
-90 + 1x + x2 = 10 + x

Solving
-90 + 1x + x2 = 10 + x

Solving for variable 'x'.

Reorder the terms:
-90 + -10 + 1x + -1x + x2 = 10 + x + -10 + -1x

Combine like terms: -90 + -10 = -100
-100 + 1x + -1x + x2 = 10 + x + -10 + -1x

Combine like terms: 1x + -1x = 0
-100 + 0 + x2 = 10 + x + -10 + -1x
-100 + x2 = 10 + x + -10 + -1x

Reorder the terms:
-100 + x2 = 10 + -10 + x + -1x

Combine like terms: 10 + -10 = 0
-100 + x2 = 0 + x + -1x
-100 + x2 = x + -1x

Combine like terms: x + -1x = 0
-100 + x2 = 0

Factor a difference between two squares.
(10 + x)(-10 + x) = 0


Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(-10 + x)' equal to zero and attempt to solve:

Simplifying
-10 + x = 0

Solving
-10 + x = 0

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x = 0 + 10
x = 0 + 10

Combine like terms: 0 + 10 = 10
x = 10

Simplifying
x = 10
Solution
x = {-10, 10}

See similar equations:

| 3ln(x+1)-2=0 | | 3q+6=6-7q | | 45+w=60+w | | 2a+6b=24 | | (6)(7/15)= | | 2(5x-4)=3(4x+1) | | V^2-2v=35 | | 4(1-3n)=3n+4 | | 5r-12=-4r-30 | | 2.25(4c-4)= | | 16=-3x+5x+8 | | A=a+(x-1)*d | | 5x+3=2(2x+7) | | 5h-6=39 | | (((x-5)^2)-25)/x | | -4-4(b-4)=-12+2b | | 1x-5=3x+7 | | 1/2n-8=2 | | 7x+x-3=7x+6 | | 3-(x+1)=x-6 | | -71=6x+2x+1 | | x/7-3=1 | | n*2+9=43 | | 5y+2y-12=3y+6-5 | | 3t+12+5t=22 | | -12k+8=-28 | | -3z^2+z^3-40z=0 | | 2.45-3.1t=22.05 | | 5x+4+7x=-104 | | -12k+8=-27 | | 3x+4=4-1 | | 17.5+0.17x=32+0.07y |

Equations solver categories