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Simplifying 10x2y2 + -85xy2 + -210y2 = 0 Reorder the terms: -85xy2 + 10x2y2 + -210y2 = 0 Solving -85xy2 + 10x2y2 + -210y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5y2'. 5y2(-17x + 2x2 + -42) = 0 Factor a trinomial. 5y2((2x + -21)(x + 2)) = 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 '(2x + -21)' equal to zero and attempt to solve: Simplifying 2x + -21 = 0 Reorder the terms: -21 + 2x = 0 Solving -21 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 2x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 0 + 21 2x = 0 + 21 Combine like terms: 0 + 21 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5Subproblem 3
Set the factor '(x + 2)' equal to zero and attempt to solve: Simplifying x + 2 = 0 Reorder the terms: 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {10.5, -2}
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