(2x^2)3=8x^5

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Solution for (2x^2)3=8x^5 equation:


Simplifying
(2x2) * 3 = 8x5

Remove parenthesis around (2x2)
2x2 * 3 = 8x5

Reorder the terms for easier multiplication:
2 * 3x2 = 8x5

Multiply 2 * 3
6x2 = 8x5

Solving
6x2 = 8x5

Solving for variable 'x'.

Combine like terms: 8x5 + -8x5 = 0
6x2 + -8x5 = 0

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(3 + -4x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(3 + -4x3)' equal to zero and attempt to solve: Simplifying 3 + -4x3 = 0 Solving 3 + -4x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x3 = 0 + -3 -4x3 = 0 + -3 Combine like terms: 0 + -3 = -3 -4x3 = -3 Divide each side by '-4'. x3 = 0.75 Simplifying x3 = 0.75 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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