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Simplifying 18x2 + -13xy + -21y2 = 0 Reorder the terms: -13xy + 18x2 + -21y2 = 0 Solving -13xy + 18x2 + -21y2 = 0 Solving for variable 'x'. Factor a trinomial. (2x + -3y)(9x + 7y) = 0Subproblem 1
Set the factor '(2x + -3y)' equal to zero and attempt to solve: Simplifying 2x + -3y = 0 Solving 2x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 2x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 2x + 0 = 0 + 3y 2x = 0 + 3y Remove the zero: 2x = 3y Divide each side by '2'. x = 1.5y Simplifying x = 1.5ySubproblem 2
Set the factor '(9x + 7y)' equal to zero and attempt to solve: Simplifying 9x + 7y = 0 Solving 9x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 9x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 9x + 0 = 0 + -7y 9x = 0 + -7y Remove the zero: 9x = -7y Divide each side by '9'. x = -0.7777777778y Simplifying x = -0.7777777778ySolution
x = {1.5y, -0.7777777778y}
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