A(2)+2AB+B(2)=50

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Solution for A(2)+2AB+B(2)=50 equation:


Simplifying
A(2) + 2AB + B(2) = 50

Reorder the terms for easier multiplication:
2A + 2AB + B(2) = 50

Reorder the terms for easier multiplication:
2A + 2AB + 2B = 50

Solving
2A + 2AB + 2B = 50

Solving for variable 'A'.

Move all terms containing A to the left, all other terms to the right.

Add '-2B' to each side of the equation.
2A + 2AB + 2B + -2B = 50 + -2B

Combine like terms: 2B + -2B = 0
2A + 2AB + 0 = 50 + -2B
2A + 2AB = 50 + -2B

Reorder the terms:
-50 + 2A + 2AB + 2B = 50 + -2B + -50 + 2B

Reorder the terms:
-50 + 2A + 2AB + 2B = 50 + -50 + -2B + 2B

Combine like terms: 50 + -50 = 0
-50 + 2A + 2AB + 2B = 0 + -2B + 2B
-50 + 2A + 2AB + 2B = -2B + 2B

Combine like terms: -2B + 2B = 0
-50 + 2A + 2AB + 2B = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-25 + A + AB + B) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-25 + A + AB + B)' equal to zero and attempt to solve: Simplifying -25 + A + AB + B = 0 Solving -25 + A + AB + B = 0 Move all terms containing A to the left, all other terms to the right. Add '25' to each side of the equation. -25 + A + AB + 25 + B = 0 + 25 Reorder the terms: -25 + 25 + A + AB + B = 0 + 25 Combine like terms: -25 + 25 = 0 0 + A + AB + B = 0 + 25 A + AB + B = 0 + 25 Combine like terms: 0 + 25 = 25 A + AB + B = 25 Add '-1B' to each side of the equation. A + AB + B + -1B = 25 + -1B Combine like terms: B + -1B = 0 A + AB + 0 = 25 + -1B A + AB = 25 + -1B 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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