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Simplifying 100x2 + -140xy + 49y2 = 0 Reorder the terms: -140xy + 100x2 + 49y2 = 0 Solving -140xy + 100x2 + 49y2 = 0 Solving for variable 'x'. Factor a trinomial. (10x + -7y)(10x + -7y) = 0Subproblem 1
Set the factor '(10x + -7y)' equal to zero and attempt to solve: Simplifying 10x + -7y = 0 Solving 10x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 10x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 10x + 0 = 0 + 7y 10x = 0 + 7y Remove the zero: 10x = 7y Divide each side by '10'. x = 0.7y Simplifying x = 0.7ySubproblem 2
Set the factor '(10x + -7y)' equal to zero and attempt to solve: Simplifying 10x + -7y = 0 Solving 10x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 10x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 10x + 0 = 0 + 7y 10x = 0 + 7y Remove the zero: 10x = 7y Divide each side by '10'. x = 0.7y Simplifying x = 0.7ySolution
x = {0.7y, 0.7y}
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