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Simplifying 7x2 + 84xy + 252y2 = 0 Reorder the terms: 84xy + 7x2 + 252y2 = 0 Solving 84xy + 7x2 + 252y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(12xy + x2 + 36y2) = 0 Factor a trinomial. 7((x + 6y)(x + 6y)) = 0 Ignore the factor 7.Subproblem 1
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 = -6ySubproblem 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 = {-6y, -6y}
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