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Simplifying 15x2 + 7xy + -8y2 = 0 Reorder the terms: 7xy + 15x2 + -8y2 = 0 Solving 7xy + 15x2 + -8y2 = 0 Solving for variable 'x'. Factor a trinomial. (15x + -8y)(x + y) = 0Subproblem 1
Set the factor '(15x + -8y)' equal to zero and attempt to solve: Simplifying 15x + -8y = 0 Solving 15x + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 15x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 15x + 0 = 0 + 8y 15x = 0 + 8y Remove the zero: 15x = 8y Divide each side by '15'. x = 0.5333333333y Simplifying x = 0.5333333333ySubproblem 2
Set the factor '(x + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + 0 = 0 + -1y x = 0 + -1y Remove the zero: x = -1y Simplifying x = -1ySolution
x = {0.5333333333y, -1y}
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