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Simplifying 14x2y2 + 68xy2 + -210y2 = 0 Reorder the terms: 68xy2 + 14x2y2 + -210y2 = 0 Solving 68xy2 + 14x2y2 + -210y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(34x + 7x2 + -105) = 0 Factor a trinomial. 2y2((7x + -15)(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 + -15)' equal to zero and attempt to solve: Simplifying 7x + -15 = 0 Reorder the terms: -15 + 7x = 0 Solving -15 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 7x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 0 + 15 7x = 0 + 15 Combine like terms: 0 + 15 = 15 7x = 15 Divide each side by '7'. x = 2.142857143 Simplifying x = 2.142857143Subproblem 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 = {2.142857143, -7}
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