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Simplifying 2(4a + -2b) + -4b(3a + -4) = 0 (4a * 2 + -2b * 2) + -4b(3a + -4) = 0 (8a + -4b) + -4b(3a + -4) = 0 Reorder the terms: 8a + -4b + -4b(-4 + 3a) = 0 8a + -4b + (-4 * -4b + 3a * -4b) = 0 Reorder the terms: 8a + -4b + (-12ab + 16b) = 0 8a + -4b + (-12ab + 16b) = 0 Reorder the terms: 8a + -12ab + -4b + 16b = 0 Combine like terms: -4b + 16b = 12b 8a + -12ab + 12b = 0 Solving 8a + -12ab + 12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 8a + -12ab + 12b + -12b = 0 + -12b Combine like terms: 12b + -12b = 0 8a + -12ab + 0 = 0 + -12b 8a + -12ab = 0 + -12b Remove the zero: 8a + -12ab = -12b Combine like terms: -12b + 12b = 0 8a + -12ab + 12b = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(2a + -3ab + 3b) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2a + -3ab + 3b)' equal to zero and attempt to solve: Simplifying 2a + -3ab + 3b = 0 Solving 2a + -3ab + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 2a + -3ab + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 2a + -3ab + 0 = 0 + -3b 2a + -3ab = 0 + -3b Remove the zero: 2a + -3ab = -3b 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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