8x(x+1)(x-10)=0

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Solution for 8x(x+1)(x-10)=0 equation:


Simplifying
8x(x + 1)(x + -10) = 0

Reorder the terms:
8x(1 + x)(x + -10) = 0

Reorder the terms:
8x(1 + x)(-10 + x) = 0

Multiply (1 + x) * (-10 + x)
8x(1(-10 + x) + x(-10 + x)) = 0
8x((-10 * 1 + x * 1) + x(-10 + x)) = 0
8x((-10 + 1x) + x(-10 + x)) = 0
8x(-10 + 1x + (-10 * x + x * x)) = 0
8x(-10 + 1x + (-10x + x2)) = 0

Combine like terms: 1x + -10x = -9x
8x(-10 + -9x + x2) = 0
(-10 * 8x + -9x * 8x + x2 * 8x) = 0
(-80x + -72x2 + 8x3) = 0

Solving
-80x + -72x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(-10 + -9x + x2) = 0

Factor a trinomial.
8x((-1 + -1x)(10 + -1x)) = 0

Ignore the factor 8.

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 '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

Subproblem 3

Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Solution

x = {0, -1, 10}

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