x(x+3)=x+8

Simple and best practice solution for x(x+3)=x+8 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(x+3)=x+8 equation: 


Simplifying
x(x + 3) = x + 8

Reorder the terms:
x(3 + x) = x + 8
(3 * x + x * x) = x + 8
(3x + x2) = x + 8

Reorder the terms:
3x + x2 = 8 + x

Solving
3x + x2 = 8 + x

Solving for variable 'x'.

Reorder the terms:
-8 + 3x + -1x + x2 = 8 + x + -8 + -1x

Combine like terms: 3x + -1x = 2x
-8 + 2x + x2 = 8 + x + -8 + -1x

Reorder the terms:
-8 + 2x + x2 = 8 + -8 + x + -1x

Combine like terms: 8 + -8 = 0
-8 + 2x + x2 = 0 + x + -1x
-8 + 2x + x2 = x + -1x

Combine like terms: x + -1x = 0
-8 + 2x + x2 = 0

Factor a trinomial.
(-4 + -1x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

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

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

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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 = {-4, 2}

See similar equations:

| 1x^2+2x-170=0 | | 8x-6x=10 | | 7y-5=8y | | .66666q^3-q^2=100 | | -2u(9u+4)= | | 2x^2+4x-340=0 | | 3x-13=5(x-3)+12x | | x-1=-45+5x | | 3y=2x-3 | | -4x+8=4(x-4)-8 | | 2x-27=x+5 | | 4+6x=4x-18 | | 6x+4=2x+2 | | 5+7x=-2x-13 | | 5x^3+20x-2=0 | | 1x^2+2x-143=0 | | 8+2m=2(m-6) | | 10(5c-1)-12=48c+10 | | .25x^2-kx+.25=0 | | 25x^2+30x+18=0 | | -9(t+3)=0 | | 4y^2+2y-1=0 | | 4x+14-3x=-8-11 | | 4x-(-2)=8+2x | | -4(y-6)=(-9+y)(2) | | -2x-2x=12-4 | | x^2-kx+16=0 | | 4x^2-28x=49 | | 4x^2-kx+9=0 | | -4+x=2(x-5) | | 3/5=15/6 | | 7x+1+2x-1=90 |

Equations solver categories