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Simplifying 112y2 + -9xy + -1x2 = 0 Reorder the terms: -9xy + -1x2 + 112y2 = 0 Solving -9xy + -1x2 + 112y2 = 0 Solving for variable 'x'. Factor a trinomial. (-1x + -16y)(x + -7y) = 0Subproblem 1
Set the factor '(-1x + -16y)' equal to zero and attempt to solve: Simplifying -1x + -16y = 0 Solving -1x + -16y = 0 Move all terms containing x to the left, all other terms to the right. Add '16y' to each side of the equation. -1x + -16y + 16y = 0 + 16y Combine like terms: -16y + 16y = 0 -1x + 0 = 0 + 16y -1x = 0 + 16y Remove the zero: -1x = 16y Divide each side by '-1'. x = -16y Simplifying x = -16ySubproblem 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 = {-16y, 7y}
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