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Simplifying -25x2y2 + 5xy2 + 42y2 = 0 Reorder the terms: 5xy2 + -25x2y2 + 42y2 = 0 Solving 5xy2 + -25x2y2 + 42y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(5x + -25x2 + 42) = 0 Factor a trinomial. y2((-5x + -6)(5x + -7)) = 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 + -6)' equal to zero and attempt to solve: Simplifying -5x + -6 = 0 Reorder the terms: -6 + -5x = 0 Solving -6 + -5x = 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 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2Subproblem 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 = {-1.2, 1.4}
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