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Simplifying 20x2y + -17xy + -63y = 0 Reorder the terms: -17xy + 20x2y + -63y = 0 Solving -17xy + 20x2y + -63y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y'. y(-17x + 20x2 + -63) = 0 Factor a trinomial. y((4x + -9)(5x + 7)) = 0Subproblem 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 '(4x + -9)' equal to zero and attempt to solve: Simplifying 4x + -9 = 0 Reorder the terms: -9 + 4x = 0 Solving -9 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 0 + 9 4x = 0 + 9 Combine like terms: 0 + 9 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25Subproblem 3
Set the factor '(5x + 7)' equal to zero and attempt to solve: Simplifying 5x + 7 = 0 Reorder the terms: 7 + 5x = 0 Solving 7 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Solution
x = {2.25, -1.4}
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