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Simplifying 8x2 + 10xy + -63y2 = 0 Reorder the terms: 10xy + 8x2 + -63y2 = 0 Solving 10xy + 8x2 + -63y2 = 0 Solving for variable 'x'. Factor a trinomial. (4x + -9y)(2x + 7y) = 0Subproblem 1
Set the factor '(4x + -9y)' equal to zero and attempt to solve: Simplifying 4x + -9y = 0 Solving 4x + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. 4x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 4x + 0 = 0 + 9y 4x = 0 + 9y Remove the zero: 4x = 9y Divide each side by '4'. x = 2.25y Simplifying x = 2.25ySubproblem 2
Set the factor '(2x + 7y)' equal to zero and attempt to solve: Simplifying 2x + 7y = 0 Solving 2x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 2x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 2x + 0 = 0 + -7y 2x = 0 + -7y Remove the zero: 2x = -7y Divide each side by '2'. x = -3.5y Simplifying x = -3.5ySolution
x = {2.25y, -3.5y}
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