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Simplifying 5x2 + 4xy * 5y2 = 0 Reorder the terms for easier multiplication: 5x2 + 4 * 5xy * y2 = 0 Multiply 4 * 5 5x2 + 20xy * y2 = 0 Multiply xy * y2 5x2 + 20xy3 = 0 Reorder the terms: 20xy3 + 5x2 = 0 Solving 20xy3 + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(4y3 + x) = 0 Ignore the factor 5.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 '(4y3 + x)' equal to zero and attempt to solve: Simplifying 4y3 + x = 0 Reorder the terms: x + 4y3 = 0 Solving x + 4y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y3' to each side of the equation. x + 4y3 + -4y3 = 0 + -4y3 Combine like terms: 4y3 + -4y3 = 0 x + 0 = 0 + -4y3 x = 0 + -4y3 Remove the zero: x = -4y3 Simplifying x = -4y3Solution
x = {0, -4y3}
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