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Simplifying 0 = 35x2y2 + 215xy2 + -210y2 Reorder the terms: 0 = 215xy2 + 35x2y2 + -210y2 Solving 0 = 215xy2 + 35x2y2 + -210y2 Solving for variable 'x'. Remove the zero: -215xy2 + -35x2y2 + 210y2 = 215xy2 + 35x2y2 + -210y2 + -215xy2 + -35x2y2 + 210y2 Reorder the terms: -215xy2 + -35x2y2 + 210y2 = 215xy2 + -215xy2 + 35x2y2 + -35x2y2 + -210y2 + 210y2 Combine like terms: 215xy2 + -215xy2 = 0 -215xy2 + -35x2y2 + 210y2 = 0 + 35x2y2 + -35x2y2 + -210y2 + 210y2 -215xy2 + -35x2y2 + 210y2 = 35x2y2 + -35x2y2 + -210y2 + 210y2 Combine like terms: 35x2y2 + -35x2y2 = 0 -215xy2 + -35x2y2 + 210y2 = 0 + -210y2 + 210y2 -215xy2 + -35x2y2 + 210y2 = -210y2 + 210y2 Combine like terms: -210y2 + 210y2 = 0 -215xy2 + -35x2y2 + 210y2 = 0 Factor out the Greatest Common Factor (GCF), '5y2'. 5y2(-43x + -7x2 + 42) = 0 Factor a trinomial. 5y2((-1x + -7)(7x + -6)) = 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 '(-1x + -7)' equal to zero and attempt to solve: Simplifying -1x + -7 = 0 Reorder the terms: -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 3
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 = 0.8571428571Solution
x = {-7, 0.8571428571}
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