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Simplifying (7x + 7b)(3 + 1a) = 0 Reorder the terms: (7b + 7x)(3 + 1a) = 0 Multiply (7b + 7x) * (3 + 1a) (7b * (3 + 1a) + 7x * (3 + 1a)) = 0 ((3 * 7b + 1a * 7b) + 7x * (3 + 1a)) = 0 Reorder the terms: ((7ab + 21b) + 7x * (3 + 1a)) = 0 ((7ab + 21b) + 7x * (3 + 1a)) = 0 (7ab + 21b + (3 * 7x + 1a * 7x)) = 0 Reorder the terms: (7ab + 21b + (7ax + 21x)) = 0 (7ab + 21b + (7ax + 21x)) = 0 Reorder the terms: (7ab + 7ax + 21b + 21x) = 0 (7ab + 7ax + 21b + 21x) = 0 Solving 7ab + 7ax + 21b + 21x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21b' to each side of the equation. 7ab + 7ax + 21b + -21b + 21x = 0 + -21b Combine like terms: 21b + -21b = 0 7ab + 7ax + 0 + 21x = 0 + -21b 7ab + 7ax + 21x = 0 + -21b Remove the zero: 7ab + 7ax + 21x = -21b Add '-21x' to each side of the equation. 7ab + 7ax + 21x + -21x = -21b + -21x Combine like terms: 21x + -21x = 0 7ab + 7ax + 0 = -21b + -21x 7ab + 7ax = -21b + -21x Reorder the terms: 7ab + 7ax + 21b + 21x = -21b + 21b + -21x + 21x Combine like terms: -21b + 21b = 0 7ab + 7ax + 21b + 21x = 0 + -21x + 21x 7ab + 7ax + 21b + 21x = -21x + 21x Combine like terms: -21x + 21x = 0 7ab + 7ax + 21b + 21x = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(ab + ax + 3b + 3x) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(ab + ax + 3b + 3x)' equal to zero and attempt to solve: Simplifying ab + ax + 3b + 3x = 0 Solving ab + ax + 3b + 3x = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. ab + ax + 3b + -3b + 3x = 0 + -3b Combine like terms: 3b + -3b = 0 ab + ax + 0 + 3x = 0 + -3b ab + ax + 3x = 0 + -3b Remove the zero: ab + ax + 3x = -3b Add '-3x' to each side of the equation. ab + ax + 3x + -3x = -3b + -3x Combine like terms: 3x + -3x = 0 ab + ax + 0 = -3b + -3x ab + ax = -3b + -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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