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Simplifying (4a + 4)(6b + 7) = 0 Reorder the terms: (4 + 4a)(6b + 7) = 0 Reorder the terms: (4 + 4a)(7 + 6b) = 0 Multiply (4 + 4a) * (7 + 6b) (4(7 + 6b) + 4a * (7 + 6b)) = 0 ((7 * 4 + 6b * 4) + 4a * (7 + 6b)) = 0 ((28 + 24b) + 4a * (7 + 6b)) = 0 (28 + 24b + (7 * 4a + 6b * 4a)) = 0 (28 + 24b + (28a + 24ab)) = 0 Reorder the terms: (28 + 28a + 24ab + 24b) = 0 (28 + 28a + 24ab + 24b) = 0 Solving 28 + 28a + 24ab + 24b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + 28a + 24ab + -28 + 24b = 0 + -28 Reorder the terms: 28 + -28 + 28a + 24ab + 24b = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 28a + 24ab + 24b = 0 + -28 28a + 24ab + 24b = 0 + -28 Combine like terms: 0 + -28 = -28 28a + 24ab + 24b = -28 Add '-24b' to each side of the equation. 28a + 24ab + 24b + -24b = -28 + -24b Combine like terms: 24b + -24b = 0 28a + 24ab + 0 = -28 + -24b 28a + 24ab = -28 + -24b Reorder the terms: 28 + 28a + 24ab + 24b = -28 + -24b + 28 + 24b Reorder the terms: 28 + 28a + 24ab + 24b = -28 + 28 + -24b + 24b Combine like terms: -28 + 28 = 0 28 + 28a + 24ab + 24b = 0 + -24b + 24b 28 + 28a + 24ab + 24b = -24b + 24b Combine like terms: -24b + 24b = 0 28 + 28a + 24ab + 24b = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(7 + 7a + 6ab + 6b) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + 7a + 6ab + 6b)' equal to zero and attempt to solve: Simplifying 7 + 7a + 6ab + 6b = 0 Solving 7 + 7a + 6ab + 6b = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 7a + 6ab + -7 + 6b = 0 + -7 Reorder the terms: 7 + -7 + 7a + 6ab + 6b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7a + 6ab + 6b = 0 + -7 7a + 6ab + 6b = 0 + -7 Combine like terms: 0 + -7 = -7 7a + 6ab + 6b = -7 Add '-6b' to each side of the equation. 7a + 6ab + 6b + -6b = -7 + -6b Combine like terms: 6b + -6b = 0 7a + 6ab + 0 = -7 + -6b 7a + 6ab = -7 + -6b 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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