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Simplifying 2x3 = 4xy2 Solving 2x3 = 4xy2 Solving for variable 'x'. Reorder the terms: -4xy2 + 2x3 = 4xy2 + -4xy2 Combine like terms: 4xy2 + -4xy2 = 0 -4xy2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-2y2 + x2) = 0 Ignore the factor 2.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 = 0Subproblem 2
Set the factor '(-2y2 + x2)' equal to zero and attempt to solve: Simplifying -2y2 + x2 = 0 Reorder the terms: x2 + -2y2 = 0 Solving x2 + -2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2y2' to each side of the equation. x2 + -2y2 + 2y2 = 0 + 2y2 Combine like terms: -2y2 + 2y2 = 0 x2 + 0 = 0 + 2y2 x2 = 0 + 2y2 Remove the zero: x2 = 2y2 Simplifying x2 = 2y2 Take the square root of each side: x = {-1.414213562y, 1.414213562y}Solution
x = {0, -1.414213562y, 1.414213562y}
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