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Simplifying 64x2 + 32xy + -21y2 = 0 Reorder the terms: 32xy + 64x2 + -21y2 = 0 Solving 32xy + 64x2 + -21y2 = 0 Solving for variable 'x'. Factor a trinomial. (8x + -3y)(8x + 7y) = 0Subproblem 1
Set the factor '(8x + -3y)' equal to zero and attempt to solve: Simplifying 8x + -3y = 0 Solving 8x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 8x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 8x + 0 = 0 + 3y 8x = 0 + 3y Remove the zero: 8x = 3y Divide each side by '8'. x = 0.375y Simplifying x = 0.375ySubproblem 2
Set the factor '(8x + 7y)' equal to zero and attempt to solve: Simplifying 8x + 7y = 0 Solving 8x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 8x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 8x + 0 = 0 + -7y 8x = 0 + -7y Remove the zero: 8x = -7y Divide each side by '8'. x = -0.875y Simplifying x = -0.875ySolution
x = {0.375y, -0.875y}
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