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Simplifying 14x2y2 + 86xy2 + -84y2 = 0 Reorder the terms: 86xy2 + 14x2y2 + -84y2 = 0 Solving 86xy2 + 14x2y2 + -84y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(43x + 7x2 + -42) = 0 Factor a trinomial. 2y2((7x + -6)(x + 7)) = 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 '(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 = 0.8571428571Subproblem 3
Set the factor '(x + 7)' equal to zero and attempt to solve: Simplifying x + 7 = 0 Reorder the terms: 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {0.8571428571, -7}
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