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Simplifying 6x6 + -9x3 + 8x3 + -12 = 0 Reorder the terms: -12 + -9x3 + 8x3 + 6x6 = 0 Combine like terms: -9x3 + 8x3 = -1x3 -12 + -1x3 + 6x6 = 0 Solving -12 + -1x3 + 6x6 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -3x3)(3 + -2x3) = 0Subproblem 1
Set the factor '(-4 + -3x3)' equal to zero and attempt to solve: Simplifying -4 + -3x3 = 0 Solving -4 + -3x3 = 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 + -3x3 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x3 = 0 + 4 -3x3 = 0 + 4 Combine like terms: 0 + 4 = 4 -3x3 = 4 Divide each side by '-3'. x3 = -1.333333333 Simplifying x3 = -1.333333333 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 + -2x3)' equal to zero and attempt to solve: Simplifying 3 + -2x3 = 0 Solving 3 + -2x3 = 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 + -2x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x3 = 0 + -3 -2x3 = 0 + -3 Combine like terms: 0 + -3 = -3 -2x3 = -3 Divide each side by '-2'. x3 = 1.5 Simplifying x3 = 1.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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