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Simplifying 7a3b3 = 63ab3 Solving 7a3b3 = 63ab3 Solving for variable 'a'. Reorder the terms: -63ab3 + 7a3b3 = 63ab3 + -63ab3 Combine like terms: 63ab3 + -63ab3 = 0 -63ab3 + 7a3b3 = 0 Factor out the Greatest Common Factor (GCF), '7ab3'. 7ab3(-9 + a2) = 0 Factor a difference between two squares. 7ab3((3 + a)(-3 + a)) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'ab3' equal to zero and attempt to solve: Simplifying ab3 = 0 Solving ab3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab3 = 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 '(3 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3Subproblem 3
Set the factor '(-3 + a)' equal to zero and attempt to solve: Simplifying -3 + a = 0 Solving -3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + a = 0 + 3 a = 0 + 3 Combine like terms: 0 + 3 = 3 a = 3 Simplifying a = 3Solution
a = {-3, 3}
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