2x^2*2X^1=2x^3

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Solution for 2x^2*2X^1=2x^3 equation:


Simplifying
2x2 * 2X = 2x3

Reorder the terms for easier multiplication:
2 * 2x2 * X = 2x3

Multiply 2 * 2
4x2 * X = 2x3

Multiply x2 * X
4x2X = 2x3

Solving
4x2X = 2x3

Solving for variable 'x'.

Combine like terms: 2x3 + -2x3 = 0
4x2X + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(2X + -1x) = 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 '(2X + -1x)' equal to zero and attempt to solve: Simplifying 2X + -1x = 0 Solving 2X + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2X' to each side of the equation. 2X + -2X + -1x = 0 + -2X Combine like terms: 2X + -2X = 0 0 + -1x = 0 + -2X -1x = 0 + -2X Remove the zero: -1x = -2X Divide each side by '-1'. x = 2X Simplifying x = 2X

Solution

x = {0, 2X}

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