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Simplifying 20ab + -30a + 8b + -12 = 0 Reorder the terms: -12 + -30a + 20ab + 8b = 0 Solving -12 + -30a + 20ab + 8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -30a + 20ab + 12 + 8b = 0 + 12 Reorder the terms: -12 + 12 + -30a + 20ab + 8b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -30a + 20ab + 8b = 0 + 12 -30a + 20ab + 8b = 0 + 12 Combine like terms: 0 + 12 = 12 -30a + 20ab + 8b = 12 Add '-8b' to each side of the equation. -30a + 20ab + 8b + -8b = 12 + -8b Combine like terms: 8b + -8b = 0 -30a + 20ab + 0 = 12 + -8b -30a + 20ab = 12 + -8b Reorder the terms: -12 + -30a + 20ab + 8b = 12 + -8b + -12 + 8b Reorder the terms: -12 + -30a + 20ab + 8b = 12 + -12 + -8b + 8b Combine like terms: 12 + -12 = 0 -12 + -30a + 20ab + 8b = 0 + -8b + 8b -12 + -30a + 20ab + 8b = -8b + 8b Combine like terms: -8b + 8b = 0 -12 + -30a + 20ab + 8b = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -15a + 10ab + 4b) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -15a + 10ab + 4b)' equal to zero and attempt to solve: Simplifying -6 + -15a + 10ab + 4b = 0 Solving -6 + -15a + 10ab + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -15a + 10ab + 6 + 4b = 0 + 6 Reorder the terms: -6 + 6 + -15a + 10ab + 4b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -15a + 10ab + 4b = 0 + 6 -15a + 10ab + 4b = 0 + 6 Combine like terms: 0 + 6 = 6 -15a + 10ab + 4b = 6 Add '-4b' to each side of the equation. -15a + 10ab + 4b + -4b = 6 + -4b Combine like terms: 4b + -4b = 0 -15a + 10ab + 0 = 6 + -4b -15a + 10ab = 6 + -4b 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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