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Simplifying 10x2 + -99xy + -63y2 = 0 Reorder the terms: -99xy + 10x2 + -63y2 = 0 Solving -99xy + 10x2 + -63y2 = 0 Solving for variable 'x'. Factor a trinomial. (2x + -21y)(5x + 3y) = 0Subproblem 1
Set the factor '(2x + -21y)' equal to zero and attempt to solve: Simplifying 2x + -21y = 0 Solving 2x + -21y = 0 Move all terms containing x to the left, all other terms to the right. Add '21y' to each side of the equation. 2x + -21y + 21y = 0 + 21y Combine like terms: -21y + 21y = 0 2x + 0 = 0 + 21y 2x = 0 + 21y Remove the zero: 2x = 21y Divide each side by '2'. x = 10.5y Simplifying x = 10.5ySubproblem 2
Set the factor '(5x + 3y)' equal to zero and attempt to solve: Simplifying 5x + 3y = 0 Solving 5x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 5x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 5x + 0 = 0 + -3y 5x = 0 + -3y Remove the zero: 5x = -3y Divide each side by '5'. x = -0.6y Simplifying x = -0.6ySolution
x = {10.5y, -0.6y}
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