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Simplifying 9x2 + 71xy + 56y2 = 0 Reorder the terms: 71xy + 9x2 + 56y2 = 0 Solving 71xy + 9x2 + 56y2 = 0 Solving for variable 'x'. Factor a trinomial. (9x + 8y)(x + 7y) = 0Subproblem 1
Set the factor '(9x + 8y)' equal to zero and attempt to solve: Simplifying 9x + 8y = 0 Solving 9x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 9x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 9x + 0 = 0 + -8y 9x = 0 + -8y Remove the zero: 9x = -8y Divide each side by '9'. x = -0.8888888889y Simplifying x = -0.8888888889ySubproblem 2
Set the factor '(x + 7y)' equal to zero and attempt to solve: Simplifying x + 7y = 0 Solving x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 x + 0 = 0 + -7y x = 0 + -7y Remove the zero: x = -7y Simplifying x = -7ySolution
x = {-0.8888888889y, -7y}
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