(4x^2)(5x^2)=8x

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Solution for (4x^2)(5x^2)=8x equation:


Simplifying
(4x2)(5x2) = 8x

Remove parenthesis around (4x2)
4x2(5x2) = 8x

Remove parenthesis around (5x2)
4x2 * 5x2 = 8x

Reorder the terms for easier multiplication:
4 * 5x2 * x2 = 8x

Multiply 4 * 5
20x2 * x2 = 8x

Multiply x2 * x2
20x4 = 8x

Solving
20x4 = 8x

Solving for variable 'x'.

Reorder the terms:
-8x + 20x4 = 8x + -8x

Combine like terms: 8x + -8x = 0
-8x + 20x4 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-2 + 5x3) = 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 '(-2 + 5x3)' equal to zero and attempt to solve: Simplifying -2 + 5x3 = 0 Solving -2 + 5x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5x3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5x3 = 0 + 2 5x3 = 0 + 2 Combine like terms: 0 + 2 = 2 5x3 = 2 Divide each side by '5'. x3 = 0.4 Simplifying x3 = 0.4 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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