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Simplifying 4x2 + 16xy + -9y2 = 0 Reorder the terms: 16xy + 4x2 + -9y2 = 0 Solving 16xy + 4x2 + -9y2 = 0 Solving for variable 'x'. Factor a trinomial. (2x + -1y)(2x + 9y) = 0Subproblem 1
Set the factor '(2x + -1y)' equal to zero and attempt to solve: Simplifying 2x + -1y = 0 Solving 2x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 2x + -1y + y = 0 + y Combine like terms: -1y + y = 0 2x + 0 = 0 + y 2x = 0 + y Remove the zero: 2x = y Divide each side by '2'. x = 0.5y Simplifying x = 0.5ySubproblem 2
Set the factor '(2x + 9y)' equal to zero and attempt to solve: Simplifying 2x + 9y = 0 Solving 2x + 9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 2x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 2x + 0 = 0 + -9y 2x = 0 + -9y Remove the zero: 2x = -9y Divide each side by '2'. x = -4.5y Simplifying x = -4.5ySolution
x = {0.5y, -4.5y}
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