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Simplifying 3x2 + 11xy + -70y2 = 0 Reorder the terms: 11xy + 3x2 + -70y2 = 0 Solving 11xy + 3x2 + -70y2 = 0 Solving for variable 'x'. Factor a trinomial. (3x + -10y)(x + 7y) = 0Subproblem 1
Set the factor '(3x + -10y)' equal to zero and attempt to solve: Simplifying 3x + -10y = 0 Solving 3x + -10y = 0 Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 3x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 3x + 0 = 0 + 10y 3x = 0 + 10y Remove the zero: 3x = 10y Divide each side by '3'. x = 3.333333333y Simplifying x = 3.333333333ySubproblem 2
Set the factor '(x + 7y)' equal to zero and attempt to solve: Simplifying x + 7y = 0 Solving x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 x + 0 = 0 + -7y x = 0 + -7y Remove the zero: x = -7y Simplifying x = -7ySolution
x = {3.333333333y, -7y}
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