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Simplifying 10x2y2 + 22xy2 + -140y2 = 0 Reorder the terms: 22xy2 + 10x2y2 + -140y2 = 0 Solving 22xy2 + 10x2y2 + -140y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(11x + 5x2 + -70) = 0 Factor a trinomial. 2y2((5x + -14)(x + 5)) = 0 Ignore the factor 2.Subproblem 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 + -14)' equal to zero and attempt to solve: Simplifying 5x + -14 = 0 Reorder the terms: -14 + 5x = 0 Solving -14 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 5x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 0 + 14 5x = 0 + 14 Combine like terms: 0 + 14 = 14 5x = 14 Divide each side by '5'. x = 2.8 Simplifying x = 2.8Subproblem 3
Set the factor '(x + 5)' equal to zero and attempt to solve: Simplifying x + 5 = 0 Reorder the terms: 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {2.8, -5}
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