-8p=8p(p-16)

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Solution for -8p=8p(p-16) equation:


Simplifying
-8p = 8p(p + -16)

Reorder the terms:
-8p = 8p(-16 + p)
-8p = (-16 * 8p + p * 8p)
-8p = (-128p + 8p2)

Solving
-8p = -128p + 8p2

Solving for variable 'p'.

Combine like terms: -8p + 128p = 120p
120p + -8p2 = -128p + 8p2 + 128p + -8p2

Reorder the terms:
120p + -8p2 = -128p + 128p + 8p2 + -8p2

Combine like terms: -128p + 128p = 0
120p + -8p2 = 0 + 8p2 + -8p2
120p + -8p2 = 8p2 + -8p2

Combine like terms: 8p2 + -8p2 = 0
120p + -8p2 = 0

Factor out the Greatest Common Factor (GCF), '8p'.
8p(15 + -1p) = 0

Ignore the factor 8.

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 '(15 + -1p)' equal to zero and attempt to solve: Simplifying 15 + -1p = 0 Solving 15 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1p = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1p = 0 + -15 -1p = 0 + -15 Combine like terms: 0 + -15 = -15 -1p = -15 Divide each side by '-1'. p = 15 Simplifying p = 15

Solution

p = {0, 15}

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