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Simplifying 32x2y + 76xy + -60y = 0 Reorder the terms: 76xy + 32x2y + -60y = 0 Solving 76xy + 32x2y + -60y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(19x + 8x2 + -15) = 0 Factor a trinomial. 4y((8x + -5)(x + 3)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(8x + -5)' equal to zero and attempt to solve: Simplifying 8x + -5 = 0 Reorder the terms: -5 + 8x = 0 Solving -5 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 0 + 5 8x = 0 + 5 Combine like terms: 0 + 5 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625Subproblem 3
Set the factor '(x + 3)' equal to zero and attempt to solve: Simplifying x + 3 = 0 Reorder the terms: 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0.625, -3}
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