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Simplifying (2x + -56y)(28x + 37y) = 0 Multiply (2x + -56y) * (28x + 37y) (2x * (28x + 37y) + -56y * (28x + 37y)) = 0 ((28x * 2x + 37y * 2x) + -56y * (28x + 37y)) = 0 Reorder the terms: ((74xy + 56x2) + -56y * (28x + 37y)) = 0 ((74xy + 56x2) + -56y * (28x + 37y)) = 0 (74xy + 56x2 + (28x * -56y + 37y * -56y)) = 0 (74xy + 56x2 + (-1568xy + -2072y2)) = 0 Reorder the terms: (74xy + -1568xy + 56x2 + -2072y2) = 0 Combine like terms: 74xy + -1568xy = -1494xy (-1494xy + 56x2 + -2072y2) = 0 Solving -1494xy + 56x2 + -2072y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-747xy + 28x2 + -1036y2) = 0 Factor a trinomial. 2((x + -28y)(28x + 37y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(x + -28y)' equal to zero and attempt to solve: Simplifying x + -28y = 0 Solving x + -28y = 0 Move all terms containing x to the left, all other terms to the right. Add '28y' to each side of the equation. x + -28y + 28y = 0 + 28y Combine like terms: -28y + 28y = 0 x + 0 = 0 + 28y x = 0 + 28y Remove the zero: x = 28y Simplifying x = 28ySubproblem 2
Set the factor '(28x + 37y)' equal to zero and attempt to solve: Simplifying 28x + 37y = 0 Solving 28x + 37y = 0 Move all terms containing x to the left, all other terms to the right. Add '-37y' to each side of the equation. 28x + 37y + -37y = 0 + -37y Combine like terms: 37y + -37y = 0 28x + 0 = 0 + -37y 28x = 0 + -37y Remove the zero: 28x = -37y Divide each side by '28'. x = -1.321428571y Simplifying x = -1.321428571ySolution
x = {28y, -1.321428571y}
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