9+4p-2=p+3pb+7

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Solution for 9+4p-2=p+3pb+7 equation:


Simplifying
9 + 4p + -2 = p + 3pb + 7

Reorder the terms:
9 + -2 + 4p = p + 3pb + 7

Combine like terms: 9 + -2 = 7
7 + 4p = p + 3pb + 7

Reorder the terms:
7 + 4p = 7 + 3bp + p

Add '-7' to each side of the equation.
7 + -7 + 4p = 7 + 3bp + -7 + p

Combine like terms: 7 + -7 = 0
0 + 4p = 7 + 3bp + -7 + p
4p = 7 + 3bp + -7 + p

Reorder the terms:
4p = 7 + -7 + 3bp + p

Combine like terms: 7 + -7 = 0
4p = 0 + 3bp + p
4p = 3bp + p

Solving
4p = 3bp + p

Solving for variable 'p'.

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

Add '-3bp' to each side of the equation.
-3bp + 4p = 3bp + -3bp + p

Combine like terms: 3bp + -3bp = 0
-3bp + 4p = 0 + p
-3bp + 4p = p

Add '-1p' to each side of the equation.
-3bp + 4p + -1p = p + -1p

Combine like terms: 4p + -1p = 3p
-3bp + 3p = p + -1p

Combine like terms: p + -1p = 0
-3bp + 3p = 0

Factor out the Greatest Common Factor (GCF), '3p'.
3p(-1b + 1) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0

Subproblem 2

Set the factor '(-1b + 1)' equal to zero and attempt to solve: Simplifying -1b + 1 = 0 Reorder the terms: 1 + -1b = 0 Solving 1 + -1b = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = 0 + -1 -1b = 0 + -1 Combine like terms: 0 + -1 = -1 -1b = -1 Add 'b' to each side of the equation. -1b + b = -1 + b Combine like terms: -1b + b = 0 0 = -1 + b Simplifying 0 = -1 + b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

p = {0}

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