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Simplifying -7x2 + 62xy + -48y2 = 0 Reorder the terms: 62xy + -7x2 + -48y2 = 0 Solving 62xy + -7x2 + -48y2 = 0 Solving for variable 'x'. Factor a trinomial. (-7x + 6y)(x + -8y) = 0Subproblem 1
Set the factor '(-7x + 6y)' equal to zero and attempt to solve: Simplifying -7x + 6y = 0 Solving -7x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. -7x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 -7x + 0 = 0 + -6y -7x = 0 + -6y Remove the zero: -7x = -6y Divide each side by '-7'. x = 0.8571428571y Simplifying x = 0.8571428571ySubproblem 2
Set the factor '(x + -8y)' equal to zero and attempt to solve: Simplifying x + -8y = 0 Solving x + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 x + 0 = 0 + 8y x = 0 + 8y Remove the zero: x = 8y Simplifying x = 8ySolution
x = {0.8571428571y, 8y}
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