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Simplifying (4m + 8)(8a + 7) = 0 Reorder the terms: (8 + 4m)(8a + 7) = 0 Reorder the terms: (8 + 4m)(7 + 8a) = 0 Multiply (8 + 4m) * (7 + 8a) (8(7 + 8a) + 4m * (7 + 8a)) = 0 ((7 * 8 + 8a * 8) + 4m * (7 + 8a)) = 0 ((56 + 64a) + 4m * (7 + 8a)) = 0 (56 + 64a + (7 * 4m + 8a * 4m)) = 0 Reorder the terms: (56 + 64a + (32am + 28m)) = 0 (56 + 64a + (32am + 28m)) = 0 (56 + 64a + 32am + 28m) = 0 Solving 56 + 64a + 32am + 28m = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + 64a + 32am + -56 + 28m = 0 + -56 Reorder the terms: 56 + -56 + 64a + 32am + 28m = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 64a + 32am + 28m = 0 + -56 64a + 32am + 28m = 0 + -56 Combine like terms: 0 + -56 = -56 64a + 32am + 28m = -56 Add '-28m' to each side of the equation. 64a + 32am + 28m + -28m = -56 + -28m Combine like terms: 28m + -28m = 0 64a + 32am + 0 = -56 + -28m 64a + 32am = -56 + -28m Reorder the terms: 56 + 64a + 32am + 28m = -56 + -28m + 56 + 28m Reorder the terms: 56 + 64a + 32am + 28m = -56 + 56 + -28m + 28m Combine like terms: -56 + 56 = 0 56 + 64a + 32am + 28m = 0 + -28m + 28m 56 + 64a + 32am + 28m = -28m + 28m Combine like terms: -28m + 28m = 0 56 + 64a + 32am + 28m = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(14 + 16a + 8am + 7m) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(14 + 16a + 8am + 7m)' equal to zero and attempt to solve: Simplifying 14 + 16a + 8am + 7m = 0 Solving 14 + 16a + 8am + 7m = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 16a + 8am + -14 + 7m = 0 + -14 Reorder the terms: 14 + -14 + 16a + 8am + 7m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 16a + 8am + 7m = 0 + -14 16a + 8am + 7m = 0 + -14 Combine like terms: 0 + -14 = -14 16a + 8am + 7m = -14 Add '-7m' to each side of the equation. 16a + 8am + 7m + -7m = -14 + -7m Combine like terms: 7m + -7m = 0 16a + 8am + 0 = -14 + -7m 16a + 8am = -14 + -7m 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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