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Simplifying 4x2 + 15xy = -14y2 Reorder the terms: 15xy + 4x2 = -14y2 Solving 15xy + 4x2 = -14y2 Solving for variable 'x'. Combine like terms: -14y2 + 14y2 = 0 15xy + 4x2 + 14y2 = 0 Factor a trinomial. (4x + 7y)(x + 2y) = 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 + 2y)' equal to zero and attempt to solve: Simplifying x + 2y = 0 Solving x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x + 0 = 0 + -2y x = 0 + -2y Remove the zero: x = -2y Simplifying x = -2ySolution
x = {-1.75y, -2y}
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