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Simplifying 36a2bx2 + -12a2bx + 108a2b = 0 Reorder the terms: 108a2b + -12a2bx + 36a2bx2 = 0 Solving 108a2b + -12a2bx + 36a2bx2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '12a2b'. 12a2b(9 + -1x + 3x2) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 0 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 '(9 + -1x + 3x2)' equal to zero and attempt to solve: Simplifying 9 + -1x + 3x2 = 0 Solving 9 + -1x + 3x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -1x + -9 + 3x2 = 0 + -9 Reorder the terms: 9 + -9 + -1x + 3x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x + 3x2 = 0 + -9 -1x + 3x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -1x + 3x2 = -9 Add 'x' to each side of the equation. -1x + x + 3x2 = -9 + x Combine like terms: -1x + x = 0 0 + 3x2 = -9 + x 3x2 = -9 + x Add '-3x2' to each side of the equation. 3x2 + -3x2 = -9 + x + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = -9 + x + -3x2 Simplifying 0 = -9 + x + -3x2 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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