2x(x-1)(x+10)=0

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Solution for 2x(x-1)(x+10)=0 equation:


Simplifying
2x(x + -1)(x + 10) = 0

Reorder the terms:
2x(-1 + x)(x + 10) = 0

Reorder the terms:
2x(-1 + x)(10 + x) = 0

Multiply (-1 + x) * (10 + x)
2x(-1(10 + x) + x(10 + x)) = 0
2x((10 * -1 + x * -1) + x(10 + x)) = 0
2x((-10 + -1x) + x(10 + x)) = 0
2x(-10 + -1x + (10 * x + x * x)) = 0
2x(-10 + -1x + (10x + x2)) = 0

Combine like terms: -1x + 10x = 9x
2x(-10 + 9x + x2) = 0
(-10 * 2x + 9x * 2x + x2 * 2x) = 0
(-20x + 18x2 + 2x3) = 0

Solving
-20x + 18x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-10 + 9x + x2) = 0

Factor a trinomial.
2x((-10 + -1x)(1 + -1x)) = 0

Ignore the factor 2.

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 '(-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

Subproblem 3

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

Solution

x = {0, -10, 1}

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