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Simplifying 20x2 + -140xy + 245y2 = 0 Reorder the terms: -140xy + 20x2 + 245y2 = 0 Solving -140xy + 20x2 + 245y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-28xy + 4x2 + 49y2) = 0 Factor a trinomial. 5((2x + -7y)(2x + -7y)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2x + -7y)' equal to zero and attempt to solve: Simplifying 2x + -7y = 0 Solving 2x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 2x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 2x + 0 = 0 + 7y 2x = 0 + 7y Remove the zero: 2x = 7y Divide each side by '2'. x = 3.5y Simplifying x = 3.5ySubproblem 2
Set the factor '(2x + -7y)' equal to zero and attempt to solve: Simplifying 2x + -7y = 0 Solving 2x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 2x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 2x + 0 = 0 + 7y 2x = 0 + 7y Remove the zero: 2x = 7y Divide each side by '2'. x = 3.5y Simplifying x = 3.5ySolution
x = {3.5y, 3.5y}
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