23ab+69ab=ab(23a+69ab)

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Solution for 23ab+69ab=ab(23a+69ab) equation:


Simplifying
23ab + 69ab = ab(23a + 69ab)

Combine like terms: 23ab + 69ab = 92ab
92ab = ab(23a + 69ab)
92ab = (23a * ab + 69ab * ab)
92ab = (23a2b + 69a2b2)

Solving
92ab = 23a2b + 69a2b2

Solving for variable 'a'.

Reorder the terms:
92ab + -23a2b + -69a2b2 = 23a2b + -23a2b + 69a2b2 + -69a2b2

Combine like terms: 23a2b + -23a2b = 0
92ab + -23a2b + -69a2b2 = 0 + 69a2b2 + -69a2b2
92ab + -23a2b + -69a2b2 = 69a2b2 + -69a2b2

Combine like terms: 69a2b2 + -69a2b2 = 0
92ab + -23a2b + -69a2b2 = 0

Factor out the Greatest Common Factor (GCF), '23ab'.
23ab(4 + -1a + -3ab) = 0

Ignore the factor 23.

Subproblem 1

Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 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 '(4 + -1a + -3ab)' equal to zero and attempt to solve: Simplifying 4 + -1a + -3ab = 0 Solving 4 + -1a + -3ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1a + -4 + -3ab = 0 + -4 Reorder the terms: 4 + -4 + -1a + -3ab = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a + -3ab = 0 + -4 -1a + -3ab = 0 + -4 Combine like terms: 0 + -4 = -4 -1a + -3ab = -4 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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