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Simplifying 45ab + -63a + -15b + 21 = 0 Reorder the terms: 21 + -63a + 45ab + -15b = 0 Solving 21 + -63a + 45ab + -15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -63a + 45ab + -21 + -15b = 0 + -21 Reorder the terms: 21 + -21 + -63a + 45ab + -15b = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -63a + 45ab + -15b = 0 + -21 -63a + 45ab + -15b = 0 + -21 Combine like terms: 0 + -21 = -21 -63a + 45ab + -15b = -21 Add '15b' to each side of the equation. -63a + 45ab + -15b + 15b = -21 + 15b Combine like terms: -15b + 15b = 0 -63a + 45ab + 0 = -21 + 15b -63a + 45ab = -21 + 15b Reorder the terms: 21 + -63a + 45ab + -15b = -21 + 15b + 21 + -15b Reorder the terms: 21 + -63a + 45ab + -15b = -21 + 21 + 15b + -15b Combine like terms: -21 + 21 = 0 21 + -63a + 45ab + -15b = 0 + 15b + -15b 21 + -63a + 45ab + -15b = 15b + -15b Combine like terms: 15b + -15b = 0 21 + -63a + 45ab + -15b = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(7 + -21a + 15ab + -5b) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + -21a + 15ab + -5b)' equal to zero and attempt to solve: Simplifying 7 + -21a + 15ab + -5b = 0 Solving 7 + -21a + 15ab + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -21a + 15ab + -7 + -5b = 0 + -7 Reorder the terms: 7 + -7 + -21a + 15ab + -5b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -21a + 15ab + -5b = 0 + -7 -21a + 15ab + -5b = 0 + -7 Combine like terms: 0 + -7 = -7 -21a + 15ab + -5b = -7 Add '5b' to each side of the equation. -21a + 15ab + -5b + 5b = -7 + 5b Combine like terms: -5b + 5b = 0 -21a + 15ab + 0 = -7 + 5b -21a + 15ab = -7 + 5b 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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