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Simplifying -2abx + -2ab(-4a + -4b + -4) = 0 Reorder the terms: -2abx + -2ab(-4 + -4a + -4b) = 0 -2abx + (-4 * -2ab + -4a * -2ab + -4b * -2ab) = 0 Reorder the terms: -2abx + (8ab + 8ab2 + 8a2b) = 0 -2abx + (8ab + 8ab2 + 8a2b) = 0 Reorder the terms: 8ab + -2abx + 8ab2 + 8a2b = 0 Solving 8ab + -2abx + 8ab2 + 8a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2ab'. 2ab(4 + -1x + 4b + 4a) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 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 '(4 + -1x + 4b + 4a)' equal to zero and attempt to solve: Simplifying 4 + -1x + 4b + 4a = 0 Reorder the terms: 4 + 4a + 4b + -1x = 0 Solving 4 + 4a + 4b + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4a + 4b + -4 + -1x = 0 + -4 Reorder the terms: 4 + -4 + 4a + 4b + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4a + 4b + -1x = 0 + -4 4a + 4b + -1x = 0 + -4 Combine like terms: 0 + -4 = -4 4a + 4b + -1x = -4 Add '-4b' to each side of the equation. 4a + 4b + -4b + -1x = -4 + -4b Combine like terms: 4b + -4b = 0 4a + 0 + -1x = -4 + -4b 4a + -1x = -4 + -4b Add 'x' to each side of the equation. 4a + -1x + x = -4 + -4b + x Combine like terms: -1x + x = 0 4a + 0 = -4 + -4b + x 4a = -4 + -4b + x Divide each side by '4'. a = -1 + -1b + 0.25x Simplifying a = -1 + -1b + 0.25xSolution
a = {-1 + -1b + 0.25x}
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