(70+2x)(50+2x)x=0

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Solution for (70+2x)(50+2x)x=0 equation:


Simplifying
(70 + 2x)(50 + 2x) * x = 0

Reorder the terms for easier multiplication:
x(70 + 2x)(50 + 2x) = 0

Multiply (70 + 2x) * (50 + 2x)
x(70(50 + 2x) + 2x * (50 + 2x)) = 0
x((50 * 70 + 2x * 70) + 2x * (50 + 2x)) = 0
x((3500 + 140x) + 2x * (50 + 2x)) = 0
x(3500 + 140x + (50 * 2x + 2x * 2x)) = 0
x(3500 + 140x + (100x + 4x2)) = 0

Combine like terms: 140x + 100x = 240x
x(3500 + 240x + 4x2) = 0
(3500 * x + 240x * x + 4x2 * x) = 0
(3500x + 240x2 + 4x3) = 0

Solving
3500x + 240x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(875 + 60x + x2) = 0

Factor a trinomial.
4x((35 + x)(25 + x)) = 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 '(35 + x)' equal to zero and attempt to solve: Simplifying 35 + x = 0 Solving 35 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + x = 0 + -35 x = 0 + -35 Combine like terms: 0 + -35 = -35 x = -35 Simplifying x = -35

Subproblem 3

Set the factor '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25

Solution

x = {0, -35, -25}

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