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Simplifying -55ab2 + 36a2b2 + 19ab2 + 23a2b2 + -62a2b2 = 0 Reorder the terms: -55ab2 + 19ab2 + 36a2b2 + 23a2b2 + -62a2b2 = 0 Combine like terms: -55ab2 + 19ab2 = -36ab2 -36ab2 + 36a2b2 + 23a2b2 + -62a2b2 = 0 Combine like terms: 36a2b2 + 23a2b2 = 59a2b2 -36ab2 + 59a2b2 + -62a2b2 = 0 Combine like terms: 59a2b2 + -62a2b2 = -3a2b2 -36ab2 + -3a2b2 = 0 Solving -36ab2 + -3a2b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-3ab2'. -3ab2(12 + a) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'ab2' equal to zero and attempt to solve: Simplifying ab2 = 0 Solving ab2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(12 + a)' equal to zero and attempt to solve: Simplifying 12 + a = 0 Solving 12 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + a = 0 + -12 a = 0 + -12 Combine like terms: 0 + -12 = -12 a = -12 Simplifying a = -12Solution
a = {-12}
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