7x(x-3)(x-8)=

Solution for 7x(x-3)(x-8)= equation:

Simplifying
7x(x + -3)(x + -8) = 0

Reorder the terms:
7x(-3 + x)(x + -8) = 0

Reorder the terms:
7x(-3 + x)(-8 + x) = 0

Multiply (-3 + x) * (-8 + x)
7x(-3(-8 + x) + x(-8 + x)) = 0
7x((-8 * -3 + x * -3) + x(-8 + x)) = 0
7x((24 + -3x) + x(-8 + x)) = 0
7x(24 + -3x + (-8 * x + x * x)) = 0
7x(24 + -3x + (-8x + x2)) = 0

Combine like terms: -3x + -8x = -11x
7x(24 + -11x + x2) = 0
(24 * 7x + -11x * 7x + x2 * 7x) = 0
(168x + -77x2 + 7x3) = 0

Solving
168x + -77x2 + 7x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(24 + -11x + x2) = 0

Factor a trinomial.
7x((3 + -1x)(8 + -1x)) = 0

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
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, 3, 8}