x(x+8)(x-7)=0

Simple and best practice solution for x(x+8)(x-7)=0 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+8)(x-7)=0 equation: 


Simplifying
x(x + 8)(x + -7) = 0

Reorder the terms:
x(8 + x)(x + -7) = 0

Reorder the terms:
x(8 + x)(-7 + x) = 0

Multiply (8 + x) * (-7 + x)
x(8(-7 + x) + x(-7 + x)) = 0
x((-7 * 8 + x * 8) + x(-7 + x)) = 0
x((-56 + 8x) + x(-7 + x)) = 0
x(-56 + 8x + (-7 * x + x * x)) = 0
x(-56 + 8x + (-7x + x2)) = 0

Combine like terms: 8x + -7x = 1x
x(-56 + 1x + x2) = 0
(-56 * x + 1x * x + x2 * x) = 0
(-56x + 1x2 + x3) = 0

Solving
-56x + 1x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-56 + x + x2) = 0

Factor a trinomial.
x((-8 + -1x)(7 + -1x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

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

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

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 3
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {0, -8, 7}

See similar equations:

| 5,652,853,388= | | (7-2)x=0 | | (-28x-66/16)=0 | | -28x-66/16=0 | | 35=-9(6n+2) | | 2.9u=11.6 | | 2(x-10)=3(x+3) | | 4w+4x-15y+5w+11x+6y= | | 9-3(x-2)+11= | | 4e^2x= | | -56=-r^2+r | | -0.08x+0.14(x+400)=62 | | 14-9x=-x^2 | | 9-(3x-2)+11= | | 2cos^2(x)=cos(2x) | | (x+2)(2x-3)(-3x+1)=0 | | 15x+3y=-18 | | s/8=104 | | x/14-8/7=x-9/7 | | K^2-3k-45=-5 | | -2(x-3)=x+5-2x | | 8x=y+16 | | -110=-40-60 | | 2(-1-6x)=106 | | 1/2x1/4 | | w-11=4.4 | | V^2+11v+24=-6 | | -64=2w+2w-16 | | 16-x=24-5x | | 23-11c/2 | | a^2-410a+21=0 | | 4x+3=3x+38 |

Equations solver categories