5x(x)(x)=40x(x)-80x

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Solution for 5x(x)(x)=40x(x)-80x equation:


Simplifying
5x(x)(x) = 40x(x) + -80x

Multiply x * x
5x2 * x = 40x(x) + -80x

Multiply x2 * x
5x3 = 40x(x) + -80x

Multiply x * x
5x3 = 40x2 + -80x

Reorder the terms:
5x3 = -80x + 40x2

Solving
5x3 = -80x + 40x2

Solving for variable 'x'.

Reorder the terms:
80x + -40x2 + 5x3 = -80x + 40x2 + 80x + -40x2

Reorder the terms:
80x + -40x2 + 5x3 = -80x + 80x + 40x2 + -40x2

Combine like terms: -80x + 80x = 0
80x + -40x2 + 5x3 = 0 + 40x2 + -40x2
80x + -40x2 + 5x3 = 40x2 + -40x2

Combine like terms: 40x2 + -40x2 = 0
80x + -40x2 + 5x3 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(16 + -8x + x2) = 0

Factor a trinomial.
5x((4 + -1x)(4 + -1x)) = 0

Ignore the factor 5.

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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Subproblem 3

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {0, 4, 4}

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