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Simplifying 6x2y2 + -52xy2 + -210y2 = 0 Reorder the terms: -52xy2 + 6x2y2 + -210y2 = 0 Solving -52xy2 + 6x2y2 + -210y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(-26x + 3x2 + -105) = 0 Factor a trinomial. 2y2((3x + -35)(x + 3)) = 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 '(3x + -35)' equal to zero and attempt to solve: Simplifying 3x + -35 = 0 Reorder the terms: -35 + 3x = 0 Solving -35 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 3x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 3x = 0 + 35 3x = 0 + 35 Combine like terms: 0 + 35 = 35 3x = 35 Divide each side by '3'. x = 11.66666667 Simplifying x = 11.66666667Subproblem 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 = {11.66666667, -3}
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