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Simplifying 15x2y2 + -25xy2 + -210y2 = 0 Reorder the terms: -25xy2 + 15x2y2 + -210y2 = 0 Solving -25xy2 + 15x2y2 + -210y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5y2'. 5y2(-5x + 3x2 + -42) = 0 Factor a trinomial. 5y2((3x + -14)(x + 3)) = 0 Ignore the factor 5.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 '(3x + -14)' equal to zero and attempt to solve: Simplifying 3x + -14 = 0 Reorder the terms: -14 + 3x = 0 Solving -14 + 3x = 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 + 3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 0 + 14 3x = 0 + 14 Combine like terms: 0 + 14 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667Subproblem 3
Set the factor '(x + 3)' equal to zero and attempt to solve: Simplifying x + 3 = 0 Reorder the terms: 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {4.666666667, -3}
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