(x+10)(2x)(2x-30)=

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Solution for (x+10)(2x)(2x-30)= equation:


Simplifying
(x + 10)(2x)(2x + -30) = 0

Reorder the terms:
(10 + x)(2x)(2x + -30) = 0

Remove parenthesis around (2x)
(10 + x) * 2x(2x + -30) = 0

Reorder the terms:
(10 + x) * 2x(-30 + 2x) = 0

Reorder the terms for easier multiplication:
2x(10 + x)(-30 + 2x) = 0

Multiply (10 + x) * (-30 + 2x)
2x(10(-30 + 2x) + x(-30 + 2x)) = 0
2x((-30 * 10 + 2x * 10) + x(-30 + 2x)) = 0
2x((-300 + 20x) + x(-30 + 2x)) = 0
2x(-300 + 20x + (-30 * x + 2x * x)) = 0
2x(-300 + 20x + (-30x + 2x2)) = 0

Combine like terms: 20x + -30x = -10x
2x(-300 + -10x + 2x2) = 0
(-300 * 2x + -10x * 2x + 2x2 * 2x) = 0
(-600x + -20x2 + 4x3) = 0

Solving
-600x + -20x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-150 + -5x + x2) = 0

Factor a trinomial.
4x((-10 + -1x)(15 + -1x)) = 0

Ignore the factor 4.

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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15

Solution

x = {0, -10, 15}

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