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Simplifying -32x2y4 + 44xy4 + 40y4 = 0 Reorder the terms: 44xy4 + -32x2y4 + 40y4 = 0 Solving 44xy4 + -32x2y4 + 40y4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4y4'. 4y4(11x + -8x2 + 10) = 0 Factor a trinomial. 4y4((-8x + -5)(x + -2)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y4' to each side of the equation. y4 + -1y4 = 0 + -1y4 Remove the zero: 0 = -1y4 Simplifying 0 = -1y4 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 + -2)' equal to zero and attempt to solve: Simplifying x + -2 = 0 Reorder the terms: -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Solution
x = {-0.625, 2}
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