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Simplifying 72ab + -48a + -45b + 30 = 0 Reorder the terms: 30 + -48a + 72ab + -45b = 0 Solving 30 + -48a + 72ab + -45b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -48a + 72ab + -30 + -45b = 0 + -30 Reorder the terms: 30 + -30 + -48a + 72ab + -45b = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -48a + 72ab + -45b = 0 + -30 -48a + 72ab + -45b = 0 + -30 Combine like terms: 0 + -30 = -30 -48a + 72ab + -45b = -30 Add '45b' to each side of the equation. -48a + 72ab + -45b + 45b = -30 + 45b Combine like terms: -45b + 45b = 0 -48a + 72ab + 0 = -30 + 45b -48a + 72ab = -30 + 45b Reorder the terms: 30 + -48a + 72ab + -45b = -30 + 45b + 30 + -45b Reorder the terms: 30 + -48a + 72ab + -45b = -30 + 30 + 45b + -45b Combine like terms: -30 + 30 = 0 30 + -48a + 72ab + -45b = 0 + 45b + -45b 30 + -48a + 72ab + -45b = 45b + -45b Combine like terms: 45b + -45b = 0 30 + -48a + 72ab + -45b = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(10 + -16a + 24ab + -15b) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(10 + -16a + 24ab + -15b)' equal to zero and attempt to solve: Simplifying 10 + -16a + 24ab + -15b = 0 Solving 10 + -16a + 24ab + -15b = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -16a + 24ab + -10 + -15b = 0 + -10 Reorder the terms: 10 + -10 + -16a + 24ab + -15b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -16a + 24ab + -15b = 0 + -10 -16a + 24ab + -15b = 0 + -10 Combine like terms: 0 + -10 = -10 -16a + 24ab + -15b = -10 Add '15b' to each side of the equation. -16a + 24ab + -15b + 15b = -10 + 15b Combine like terms: -15b + 15b = 0 -16a + 24ab + 0 = -10 + 15b -16a + 24ab = -10 + 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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