2p-7=13-8pa

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Solution for 2p-7=13-8pa equation:


Simplifying
2p + -7 = 13 + -8pa

Reorder the terms:
-7 + 2p = 13 + -8pa

Solving
-7 + 2p = 13 + -8ap

Solving for variable 'p'.

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

Add '8ap' to each side of the equation.
-7 + 8ap + 2p = 13 + -8ap + 8ap

Combine like terms: -8ap + 8ap = 0
-7 + 8ap + 2p = 13 + 0
-7 + 8ap + 2p = 13

Add '7' to each side of the equation.
-7 + 8ap + 7 + 2p = 13 + 7

Reorder the terms:
-7 + 7 + 8ap + 2p = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 8ap + 2p = 13 + 7
8ap + 2p = 13 + 7

Combine like terms: 13 + 7 = 20
8ap + 2p = 20

Reorder the terms:
-20 + 8ap + 2p = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 8ap + 2p = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 4ap + p) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-10 + 4ap + p)' equal to zero and attempt to solve: Simplifying -10 + 4ap + p = 0 Solving -10 + 4ap + p = 0 Move all terms containing p to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 4ap + 10 + p = 0 + 10 Reorder the terms: -10 + 10 + 4ap + p = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 4ap + p = 0 + 10 4ap + p = 0 + 10 Combine like terms: 0 + 10 = 10 4ap + p = 10 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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