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Simplifying 2x2 + -5xy + -75y2 = 0 Reorder the terms: -5xy + 2x2 + -75y2 = 0 Solving -5xy + 2x2 + -75y2 = 0 Solving for variable 'x'. Factor a trinomial. (2x + -15y)(x + 5y) = 0Subproblem 1
Set the factor '(2x + -15y)' equal to zero and attempt to solve: Simplifying 2x + -15y = 0 Solving 2x + -15y = 0 Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. 2x + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 2x + 0 = 0 + 15y 2x = 0 + 15y Remove the zero: 2x = 15y Divide each side by '2'. x = 7.5y Simplifying x = 7.5ySubproblem 2
Set the factor '(x + 5y)' equal to zero and attempt to solve: Simplifying x + 5y = 0 Solving x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 x + 0 = 0 + -5y x = 0 + -5y Remove the zero: x = -5y Simplifying x = -5ySolution
x = {7.5y, -5y}
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