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Simplifying 12x4 + -7x2 + -45 = 0 Reorder the terms: -45 + -7x2 + 12x4 = 0 Solving -45 + -7x2 + 12x4 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -3x2)(9 + -4x2) = 0 Factor a difference between two squares. (-5 + -3x2)((3 + 2x)(3 + -2x)) = 0Subproblem 1
Set the factor '(-5 + -3x2)' equal to zero and attempt to solve: Simplifying -5 + -3x2 = 0 Solving -5 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x2 = 0 + 5 -3x2 = 0 + 5 Combine like terms: 0 + 5 = 5 -3x2 = 5 Divide each side by '-3'. x2 = -1.666666667 Simplifying x2 = -1.666666667 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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 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 = 1.5Solution
x = {-1.5, 1.5}
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