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Simplifying 24x2y + -42xy + 9y = 0 Reorder the terms: -42xy + 24x2y + 9y = 0 Solving -42xy + 24x2y + 9y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(-14x + 8x2 + 3) = 0 Factor a trinomial. 3y((2x + -3)(4x + -1)) = 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 + -3)' equal to zero and attempt to solve: Simplifying 2x + -3 = 0 Reorder the terms: -3 + 2x = 0 Solving -3 + 2x = 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 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5Subproblem 3
Set the factor '(4x + -1)' equal to zero and attempt to solve: Simplifying 4x + -1 = 0 Reorder the terms: -1 + 4x = 0 Solving -1 + 4x = 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 + 4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 0 + 1 4x = 0 + 1 Combine like terms: 0 + 1 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25Solution
x = {1.5, 0.25}
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