(p-4)(p-1)=4

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Solution for (p-4)(p-1)=4 equation:


Simplifying
(p + -4)(p + -1) = 4

Reorder the terms:
(-4 + p)(p + -1) = 4

Reorder the terms:
(-4 + p)(-1 + p) = 4

Multiply (-4 + p) * (-1 + p)
(-4(-1 + p) + p(-1 + p)) = 4
((-1 * -4 + p * -4) + p(-1 + p)) = 4
((4 + -4p) + p(-1 + p)) = 4
(4 + -4p + (-1 * p + p * p)) = 4
(4 + -4p + (-1p + p2)) = 4

Combine like terms: -4p + -1p = -5p
(4 + -5p + p2) = 4

Add '-4' to each side of the equation.
4 + -5p + -4 + p2 = 4 + -4

Reorder the terms:
4 + -4 + -5p + p2 = 4 + -4

Combine like terms: 4 + -4 = 0
0 + -5p + p2 = 4 + -4
-5p + p2 = 4 + -4

Combine like terms: 4 + -4 = 0
-5p + p2 = 0

Solving
-5p + p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-5 + p) = 0

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 '(-5 + p)' equal to zero and attempt to solve: Simplifying -5 + p = 0 Solving -5 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + p = 0 + 5 p = 0 + 5 Combine like terms: 0 + 5 = 5 p = 5 Simplifying p = 5

Solution

p = {0, 5}

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