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Simplifying 16x2y + 130xy + -126y = 0 Reorder the terms: 130xy + 16x2y + -126y = 0 Solving 130xy + 16x2y + -126y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(65x + 8x2 + -63) = 0 Factor a trinomial. 2y((8x + -7)(x + 9)) = 0 Ignore the factor 2.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 + -7)' equal to zero and attempt to solve: Simplifying 8x + -7 = 0 Reorder the terms: -7 + 8x = 0 Solving -7 + 8x = 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 + 8x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 0 + 7 8x = 0 + 7 Combine like terms: 0 + 7 = 7 8x = 7 Divide each side by '8'. x = 0.875 Simplifying x = 0.875Subproblem 3
Set the factor '(x + 9)' equal to zero and attempt to solve: Simplifying x + 9 = 0 Reorder the terms: 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {0.875, -9}
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