(-4x^2)(5x^2)=80x

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Solution for (-4x^2)(5x^2)=80x equation:


Simplifying
(-4x2)(5x2) = 80x

Remove parenthesis around (-4x2)
-4x2(5x2) = 80x

Remove parenthesis around (5x2)
-4x2 * 5x2 = 80x

Reorder the terms for easier multiplication:
-4 * 5x2 * x2 = 80x

Multiply -4 * 5
-20x2 * x2 = 80x

Multiply x2 * x2
-20x4 = 80x

Solving
-20x4 = 80x

Solving for variable 'x'.

Reorder the terms:
-80x + -20x4 = 80x + -80x

Combine like terms: 80x + -80x = 0
-80x + -20x4 = 0

Factor out the Greatest Common Factor (GCF), '-20x'.
-20x(4 + x3) = 0

Ignore the factor -20.

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 + x3)' equal to zero and attempt to solve: Simplifying 4 + x3 = 0 Solving 4 + x3 = 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 + x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x3 = 0 + -4 x3 = 0 + -4 Combine like terms: 0 + -4 = -4 x3 = -4 Simplifying x3 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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