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Simplifying 6x2 * y + -14xy + -12y = 0 Multiply x2 * y 6x2y + -14xy + -12y = 0 Reorder the terms: -14xy + 6x2y + -12y = 0 Solving -14xy + 6x2y + -12y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-7x + 3x2 + -6) = 0 Factor a trinomial. 2y((x + -3)(3x + 2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(x + -3)' equal to zero and attempt to solve: Simplifying x + -3 = 0 Reorder the terms: -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 3
Set the factor '(3x + 2)' equal to zero and attempt to solve: Simplifying 3x + 2 = 0 Reorder the terms: 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {3, -0.6666666667}
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