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Simplifying 4x2 + 29xy = 63y2 Reorder the terms: 29xy + 4x2 = 63y2 Solving 29xy + 4x2 = 63y2 Solving for variable 'x'. Combine like terms: 63y2 + -63y2 = 0 29xy + 4x2 + -63y2 = 0 Factor a trinomial. (4x + -7y)(x + 9y) = 0Subproblem 1
Set the factor '(4x + -7y)' equal to zero and attempt to solve: Simplifying 4x + -7y = 0 Solving 4x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 4x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 4x + 0 = 0 + 7y 4x = 0 + 7y Remove the zero: 4x = 7y Divide each side by '4'. x = 1.75y Simplifying x = 1.75ySubproblem 2
Set the factor '(x + 9y)' equal to zero and attempt to solve: Simplifying x + 9y = 0 Solving x + 9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 x + 0 = 0 + -9y x = 0 + -9y Remove the zero: x = -9y Simplifying x = -9ySolution
x = {1.75y, -9y}
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