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Simplifying 64x2 + -112xy + 49y2 = 0 Reorder the terms: -112xy + 64x2 + 49y2 = 0 Solving -112xy + 64x2 + 49y2 = 0 Solving for variable 'x'. Factor a trinomial. (8x + -7y)(8x + -7y) = 0Subproblem 1
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 = 0.875ySubproblem 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 = {0.875y, 0.875y}
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