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 + -1x + x2) = 0

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

Subproblem 3
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
Solution
x = {0, -7, 8}

See similar equations:

| 7x-6y=25 | | 4x^2+4x+144=400 | | 130/80 | | -3x^2+75x+10= | | 130/18 | | 14-b=-4 | | f(x)=2x/3x-9 | | 156=4(4+7x) | | 2x+6x+8=4x-2 | | -6.6/0.5 | | 9=2(p-4)-3 | | 2k-6+2k=-1+6k+27 | | 2m+(3n+1)=6-8i | | 3x^2-75x+10=y | | -2(c-19)-5=1 | | t^4-c^4=0 | | (y-3)=1/2(8x-14) | | 8xd=40 | | 13x-10=4x | | 6x=4c^2-4 | | (5w-9)(3+w)=0 | | log(2x+50)=2 | | 12a-2a+7= | | -4y^2+19y-21=0 | | X-(.25x)=22.5 | | a+7.6=5.9 | | 3x+5(3x-13)=151 | | 3-x=x^2-27 | | ln(7x+1)=ln(x^2+1) | | n^2-7n+9=0 | | 4x^2+2x+.25=0 | | (2p+3)x(3p+1)= |

Equations solver categories