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Simplifying 40 + 56a + 42ab + 30b = 0 Solving 40 + 56a + 42ab + 30b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 56a + 42ab + -40 + 30b = 0 + -40 Reorder the terms: 40 + -40 + 56a + 42ab + 30b = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 56a + 42ab + 30b = 0 + -40 56a + 42ab + 30b = 0 + -40 Combine like terms: 0 + -40 = -40 56a + 42ab + 30b = -40 Add '-30b' to each side of the equation. 56a + 42ab + 30b + -30b = -40 + -30b Combine like terms: 30b + -30b = 0 56a + 42ab + 0 = -40 + -30b 56a + 42ab = -40 + -30b Reorder the terms: 40 + 56a + 42ab + 30b = -40 + -30b + 40 + 30b Reorder the terms: 40 + 56a + 42ab + 30b = -40 + 40 + -30b + 30b Combine like terms: -40 + 40 = 0 40 + 56a + 42ab + 30b = 0 + -30b + 30b 40 + 56a + 42ab + 30b = -30b + 30b Combine like terms: -30b + 30b = 0 40 + 56a + 42ab + 30b = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(20 + 28a + 21ab + 15b) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(20 + 28a + 21ab + 15b)' equal to zero and attempt to solve: Simplifying 20 + 28a + 21ab + 15b = 0 Solving 20 + 28a + 21ab + 15b = 0 Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 28a + 21ab + -20 + 15b = 0 + -20 Reorder the terms: 20 + -20 + 28a + 21ab + 15b = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 28a + 21ab + 15b = 0 + -20 28a + 21ab + 15b = 0 + -20 Combine like terms: 0 + -20 = -20 28a + 21ab + 15b = -20 Add '-15b' to each side of the equation. 28a + 21ab + 15b + -15b = -20 + -15b Combine like terms: 15b + -15b = 0 28a + 21ab + 0 = -20 + -15b 28a + 21ab = -20 + -15b 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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