2(-p+5)(p-6)=

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Solution for 2(-p+5)(p-6)= equation:


Simplifying
2(-1p + 5)(p + -6) = 0

Reorder the terms:
2(5 + -1p)(p + -6) = 0

Reorder the terms:
2(5 + -1p)(-6 + p) = 0

Multiply (5 + -1p) * (-6 + p)
2(5(-6 + p) + -1p * (-6 + p)) = 0
2((-6 * 5 + p * 5) + -1p * (-6 + p)) = 0
2((-30 + 5p) + -1p * (-6 + p)) = 0
2(-30 + 5p + (-6 * -1p + p * -1p)) = 0
2(-30 + 5p + (6p + -1p2)) = 0

Combine like terms: 5p + 6p = 11p
2(-30 + 11p + -1p2) = 0
(-30 * 2 + 11p * 2 + -1p2 * 2) = 0
(-60 + 22p + -2p2) = 0

Solving
-60 + 22p + -2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-30 + 11p + -1p2) = 0

Factor a trinomial.
2((-6 + p)(5 + -1p)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-6 + p)' equal to zero and attempt to solve: Simplifying -6 + p = 0 Solving -6 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + p = 0 + 6 p = 0 + 6 Combine like terms: 0 + 6 = 6 p = 6 Simplifying p = 6

Subproblem 2

Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 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 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5

Solution

p = {6, 5}

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