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Simplifying 25x2 + -70xy + 49y2 = 0 Reorder the terms: -70xy + 25x2 + 49y2 = 0 Solving -70xy + 25x2 + 49y2 = 0 Solving for variable 'x'. Factor a trinomial. (5x + -7y)(5x + -7y) = 0Subproblem 1
Set the factor '(5x + -7y)' equal to zero and attempt to solve: Simplifying 5x + -7y = 0 Solving 5x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 5x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 5x + 0 = 0 + 7y 5x = 0 + 7y Remove the zero: 5x = 7y Divide each side by '5'. x = 1.4y Simplifying x = 1.4ySubproblem 2
Set the factor '(5x + -7y)' equal to zero and attempt to solve: Simplifying 5x + -7y = 0 Solving 5x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 5x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 5x + 0 = 0 + 7y 5x = 0 + 7y Remove the zero: 5x = 7y Divide each side by '5'. x = 1.4y Simplifying x = 1.4ySolution
x = {1.4y, 1.4y}
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