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Simplifying 36x2 + -5xy + -24y2 = 0 Reorder the terms: -5xy + 36x2 + -24y2 = 0 Solving -5xy + 36x2 + -24y2 = 0 Solving for variable 'x'. Factor a trinomial. (9x + -8y)(4x + 3y) = 0Subproblem 1
Set the factor '(9x + -8y)' equal to zero and attempt to solve: Simplifying 9x + -8y = 0 Solving 9x + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 9x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 9x + 0 = 0 + 8y 9x = 0 + 8y Remove the zero: 9x = 8y Divide each side by '9'. x = 0.8888888889y Simplifying x = 0.8888888889ySubproblem 2
Set the factor '(4x + 3y)' equal to zero and attempt to solve: Simplifying 4x + 3y = 0 Solving 4x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 4x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 4x + 0 = 0 + -3y 4x = 0 + -3y Remove the zero: 4x = -3y Divide each side by '4'. x = -0.75y Simplifying x = -0.75ySolution
x = {0.8888888889y, -0.75y}
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