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Simplifying 6x2y + 21xy + -12y = 0 Reorder the terms: 21xy + 6x2y + -12y = 0 Solving 21xy + 6x2y + -12y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(7x + 2x2 + -4) = 0 Factor a trinomial. 3y((2x + -1)(x + 4)) = 0 Ignore the factor 3.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 '(2x + -1)' equal to zero and attempt to solve: Simplifying 2x + -1 = 0 Reorder the terms: -1 + 2x = 0 Solving -1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5Subproblem 3
Set the factor '(x + 4)' equal to zero and attempt to solve: Simplifying x + 4 = 0 Reorder the terms: 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0.5, -4}
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