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Simplifying 14x2y2 + 5xy + -24 = 0 Reorder the terms: -24 + 5xy + 14x2y2 = 0 Solving -24 + 5xy + 14x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -2xy)(8 + -7xy) = 0Subproblem 1
Set the factor '(-3 + -2xy)' equal to zero and attempt to solve: Simplifying -3 + -2xy = 0 Solving -3 + -2xy = 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 + -2xy = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2xy = 0 + 3 -2xy = 0 + 3 Combine like terms: 0 + 3 = 3 -2xy = 3 Divide each side by '-2y'. x = -1.5y-1 Simplifying x = -1.5y-1Subproblem 2
Set the factor '(8 + -7xy)' equal to zero and attempt to solve: Simplifying 8 + -7xy = 0 Solving 8 + -7xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7xy = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7xy = 0 + -8 -7xy = 0 + -8 Combine like terms: 0 + -8 = -8 -7xy = -8 Divide each side by '-7y'. x = 1.142857143y-1 Simplifying x = 1.142857143y-1Solution
x = {-1.5y-1, 1.142857143y-1}
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