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Simplifying 4a(x + 3) + 6(x + 3) = 0 Reorder the terms: 4a(3 + x) + 6(x + 3) = 0 (3 * 4a + x * 4a) + 6(x + 3) = 0 (12a + 4ax) + 6(x + 3) = 0 Reorder the terms: 12a + 4ax + 6(3 + x) = 0 12a + 4ax + (3 * 6 + x * 6) = 0 12a + 4ax + (18 + 6x) = 0 Reorder the terms: 18 + 12a + 4ax + 6x = 0 Solving 18 + 12a + 4ax + 6x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 12a + 4ax + -18 + 6x = 0 + -18 Reorder the terms: 18 + -18 + 12a + 4ax + 6x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 12a + 4ax + 6x = 0 + -18 12a + 4ax + 6x = 0 + -18 Combine like terms: 0 + -18 = -18 12a + 4ax + 6x = -18 Add '-6x' to each side of the equation. 12a + 4ax + 6x + -6x = -18 + -6x Combine like terms: 6x + -6x = 0 12a + 4ax + 0 = -18 + -6x 12a + 4ax = -18 + -6x Reorder the terms: 18 + 12a + 4ax + 6x = -18 + -6x + 18 + 6x Reorder the terms: 18 + 12a + 4ax + 6x = -18 + 18 + -6x + 6x Combine like terms: -18 + 18 = 0 18 + 12a + 4ax + 6x = 0 + -6x + 6x 18 + 12a + 4ax + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 18 + 12a + 4ax + 6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 6a + 2ax + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + 6a + 2ax + 3x)' equal to zero and attempt to solve: Simplifying 9 + 6a + 2ax + 3x = 0 Solving 9 + 6a + 2ax + 3x = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 6a + 2ax + -9 + 3x = 0 + -9 Reorder the terms: 9 + -9 + 6a + 2ax + 3x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 6a + 2ax + 3x = 0 + -9 6a + 2ax + 3x = 0 + -9 Combine like terms: 0 + -9 = -9 6a + 2ax + 3x = -9 Add '-3x' to each side of the equation. 6a + 2ax + 3x + -3x = -9 + -3x Combine like terms: 3x + -3x = 0 6a + 2ax + 0 = -9 + -3x 6a + 2ax = -9 + -3x 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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