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Simplifying 2abx + -12ax + -8bx + 48x = 0 Solving 2abx + -12ax + -8bx + 48x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8bx' to each side of the equation. 2abx + -12ax + -8bx + 8bx + 48x = 0 + 8bx Combine like terms: -8bx + 8bx = 0 2abx + -12ax + 0 + 48x = 0 + 8bx 2abx + -12ax + 48x = 0 + 8bx Remove the zero: 2abx + -12ax + 48x = 8bx Add '-48x' to each side of the equation. 2abx + -12ax + 48x + -48x = 8bx + -48x Combine like terms: 48x + -48x = 0 2abx + -12ax + 0 = 8bx + -48x 2abx + -12ax = 8bx + -48x Reorder the terms: 2abx + -12ax + -8bx + 48x = 8bx + -8bx + -48x + 48x Combine like terms: 8bx + -8bx = 0 2abx + -12ax + -8bx + 48x = 0 + -48x + 48x 2abx + -12ax + -8bx + 48x = -48x + 48x Combine like terms: -48x + 48x = 0 2abx + -12ax + -8bx + 48x = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(ab + -6a + -4b + 24) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(ab + -6a + -4b + 24)' equal to zero and attempt to solve: Simplifying ab + -6a + -4b + 24 = 0 Reorder the terms: 24 + -6a + ab + -4b = 0 Solving 24 + -6a + ab + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -6a + ab + -24 + -4b = 0 + -24 Reorder the terms: 24 + -24 + -6a + ab + -4b = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -6a + ab + -4b = 0 + -24 -6a + ab + -4b = 0 + -24 Combine like terms: 0 + -24 = -24 -6a + ab + -4b = -24 Add '4b' to each side of the equation. -6a + ab + -4b + 4b = -24 + 4b Combine like terms: -4b + 4b = 0 -6a + ab + 0 = -24 + 4b -6a + ab = -24 + 4b 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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