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Simplifying 15x2y2 + 20xy4 = 5xy2 Reorder the terms: 20xy4 + 15x2y2 = 5xy2 Solving 20xy4 + 15x2y2 = 5xy2 Solving for variable 'x'. Reorder the terms: -5xy2 + 20xy4 + 15x2y2 = 5xy2 + -5xy2 Combine like terms: 5xy2 + -5xy2 = 0 -5xy2 + 20xy4 + 15x2y2 = 0 Factor out the Greatest Common Factor (GCF), '5xy2'. 5xy2(-1 + 4y2 + 3x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(-1 + 4y2 + 3x)' equal to zero and attempt to solve: Simplifying -1 + 4y2 + 3x = 0 Reorder the terms: -1 + 3x + 4y2 = 0 Solving -1 + 3x + 4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3x + 1 + 4y2 = 0 + 1 Reorder the terms: -1 + 1 + 3x + 4y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x + 4y2 = 0 + 1 3x + 4y2 = 0 + 1 Combine like terms: 0 + 1 = 1 3x + 4y2 = 1 Add '-4y2' to each side of the equation. 3x + 4y2 + -4y2 = 1 + -4y2 Combine like terms: 4y2 + -4y2 = 0 3x + 0 = 1 + -4y2 3x = 1 + -4y2 Divide each side by '3'. x = 0.3333333333 + -1.333333333y2 Simplifying x = 0.3333333333 + -1.333333333y2Solution
x = {0.3333333333 + -1.333333333y2}
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