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