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Simplifying -9a(6m + -3) + 6(1 + 4m) = 0 Reorder the terms: -9a(-3 + 6m) + 6(1 + 4m) = 0 (-3 * -9a + 6m * -9a) + 6(1 + 4m) = 0 (27a + -54am) + 6(1 + 4m) = 0 27a + -54am + (1 * 6 + 4m * 6) = 0 27a + -54am + (6 + 24m) = 0 Reorder the terms: 6 + 27a + -54am + 24m = 0 Solving 6 + 27a + -54am + 24m = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 27a + -54am + -6 + 24m = 0 + -6 Reorder the terms: 6 + -6 + 27a + -54am + 24m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 27a + -54am + 24m = 0 + -6 27a + -54am + 24m = 0 + -6 Combine like terms: 0 + -6 = -6 27a + -54am + 24m = -6 Add '-24m' to each side of the equation. 27a + -54am + 24m + -24m = -6 + -24m Combine like terms: 24m + -24m = 0 27a + -54am + 0 = -6 + -24m 27a + -54am = -6 + -24m Reorder the terms: 6 + 27a + -54am + 24m = -6 + -24m + 6 + 24m Reorder the terms: 6 + 27a + -54am + 24m = -6 + 6 + -24m + 24m Combine like terms: -6 + 6 = 0 6 + 27a + -54am + 24m = 0 + -24m + 24m 6 + 27a + -54am + 24m = -24m + 24m Combine like terms: -24m + 24m = 0 6 + 27a + -54am + 24m = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2 + 9a + -18am + 8m) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + 9a + -18am + 8m)' equal to zero and attempt to solve: Simplifying 2 + 9a + -18am + 8m = 0 Solving 2 + 9a + -18am + 8m = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 9a + -18am + -2 + 8m = 0 + -2 Reorder the terms: 2 + -2 + 9a + -18am + 8m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9a + -18am + 8m = 0 + -2 9a + -18am + 8m = 0 + -2 Combine like terms: 0 + -2 = -2 9a + -18am + 8m = -2 Add '-8m' to each side of the equation. 9a + -18am + 8m + -8m = -2 + -8m Combine like terms: 8m + -8m = 0 9a + -18am + 0 = -2 + -8m 9a + -18am = -2 + -8m 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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