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Simplifying 11x2 + 51xy + 28y2 = 0 Reorder the terms: 51xy + 11x2 + 28y2 = 0 Solving 51xy + 11x2 + 28y2 = 0 Solving for variable 'x'. Factor a trinomial. (11x + 7y)(x + 4y) = 0Subproblem 1
Set the factor '(11x + 7y)' equal to zero and attempt to solve: Simplifying 11x + 7y = 0 Solving 11x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 11x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 11x + 0 = 0 + -7y 11x = 0 + -7y Remove the zero: 11x = -7y Divide each side by '11'. x = -0.6363636364y Simplifying x = -0.6363636364ySubproblem 2
Set the factor '(x + 4y)' equal to zero and attempt to solve: Simplifying x + 4y = 0 Solving x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 x + 0 = 0 + -4y x = 0 + -4y Remove the zero: x = -4y Simplifying x = -4ySolution
x = {-0.6363636364y, -4y}
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