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Simplifying (x + -2y) * x(2x) * 3x = 0 Remove parenthesis around (2x) (x + -2y) * x * 2x * 3x = 0 Reorder the terms for easier multiplication: 2 * 3x * x * x(x + -2y) = 0 Multiply 2 * 3 6x * x * x(x + -2y) = 0 Multiply x * x 6x2 * x(x + -2y) = 0 Multiply x2 * x 6x3(x + -2y) = 0 (x * 6x3 + -2y * 6x3) = 0 Reorder the terms: (-12x3y + 6x4) = 0 (-12x3y + 6x4) = 0 Solving -12x3y + 6x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x3'. 6x3(-2y + x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2y + x)' equal to zero and attempt to solve: Simplifying -2y + x = 0 Reorder the terms: x + -2y = 0 Solving x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x + 0 = 0 + 2y x = 0 + 2y Remove the zero: x = 2y Simplifying x = 2ySolution
x = {2y}
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