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Simplifying 7x2 + 75xy + 50y2 = 0 Reorder the terms: 75xy + 7x2 + 50y2 = 0 Solving 75xy + 7x2 + 50y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + 5y)(x + 10y) = 0Subproblem 1
Set the factor '(7x + 5y)' equal to zero and attempt to solve: Simplifying 7x + 5y = 0 Solving 7x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 7x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 7x + 0 = 0 + -5y 7x = 0 + -5y Remove the zero: 7x = -5y Divide each side by '7'. x = -0.7142857143y Simplifying x = -0.7142857143ySubproblem 2
Set the factor '(x + 10y)' equal to zero and attempt to solve: Simplifying x + 10y = 0 Solving x + 10y = 0 Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 x + 0 = 0 + -10y x = 0 + -10y Remove the zero: x = -10y Simplifying x = -10ySolution
x = {-0.7142857143y, -10y}
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