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Simplifying -3x2 + 14xy + 24y2 = 0 Reorder the terms: 14xy + -3x2 + 24y2 = 0 Solving 14xy + -3x2 + 24y2 = 0 Solving for variable 'x'. Factor a trinomial. (-3x + -4y)(x + -6y) = 0Subproblem 1
Set the factor '(-3x + -4y)' equal to zero and attempt to solve: Simplifying -3x + -4y = 0 Solving -3x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. -3x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 -3x + 0 = 0 + 4y -3x = 0 + 4y Remove the zero: -3x = 4y Divide each side by '-3'. x = -1.333333333y Simplifying x = -1.333333333ySubproblem 2
Set the factor '(x + -6y)' equal to zero and attempt to solve: Simplifying x + -6y = 0 Solving x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 x + 0 = 0 + 6y x = 0 + 6y Remove the zero: x = 6y Simplifying x = 6ySolution
x = {-1.333333333y, 6y}
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