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Simplifying -35x2y2 + 2xy2 + 24y2 = 0 Reorder the terms: 2xy2 + -35x2y2 + 24y2 = 0 Solving 2xy2 + -35x2y2 + 24y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(2x + -35x2 + 24) = 0 Factor a trinomial. y2((-5x + -4)(7x + -6)) = 0Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 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 '(-5x + -4)' equal to zero and attempt to solve: Simplifying -5x + -4 = 0 Reorder the terms: -4 + -5x = 0 Solving -4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8Subproblem 3
Set the factor '(7x + -6)' equal to zero and attempt to solve: Simplifying 7x + -6 = 0 Reorder the terms: -6 + 7x = 0 Solving -6 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 0 + 6 7x = 0 + 6 Combine like terms: 0 + 6 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571Solution
x = {-0.8, 0.8571428571}
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