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Simplifying 8x2 + 41xy + -42y2 = 0 Reorder the terms: 41xy + 8x2 + -42y2 = 0 Solving 41xy + 8x2 + -42y2 = 0 Solving for variable 'x'. Factor a trinomial. (8x + -7y)(x + 6y) = 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 '(x + 6y)' equal to zero and attempt to solve: Simplifying x + 6y = 0 Solving x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 x + 0 = 0 + -6y x = 0 + -6y Remove the zero: x = -6y Simplifying x = -6ySolution
x = {0.875y, -6y}
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