(5p-1)(25p+5p+1)=

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Solution for (5p-1)(25p+5p+1)= equation:


Simplifying
(5p + -1)(25p + 5p + 1) = 0

Reorder the terms:
(-1 + 5p)(25p + 5p + 1) = 0

Reorder the terms:
(-1 + 5p)(1 + 25p + 5p) = 0

Combine like terms: 25p + 5p = 30p
(-1 + 5p)(1 + 30p) = 0

Multiply (-1 + 5p) * (1 + 30p)
(-1(1 + 30p) + 5p * (1 + 30p)) = 0
((1 * -1 + 30p * -1) + 5p * (1 + 30p)) = 0
((-1 + -30p) + 5p * (1 + 30p)) = 0
(-1 + -30p + (1 * 5p + 30p * 5p)) = 0
(-1 + -30p + (5p + 150p2)) = 0

Combine like terms: -30p + 5p = -25p
(-1 + -25p + 150p2) = 0

Solving
-1 + -25p + 150p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-1 + -30p)(1 + -5p) = 0

Subproblem 1

Set the factor '(-1 + -30p)' equal to zero and attempt to solve: Simplifying -1 + -30p = 0 Solving -1 + -30p = 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 + -30p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -30p = 0 + 1 -30p = 0 + 1 Combine like terms: 0 + 1 = 1 -30p = 1 Divide each side by '-30'. p = -0.03333333333 Simplifying p = -0.03333333333

Subproblem 2

Set the factor '(1 + -5p)' equal to zero and attempt to solve: Simplifying 1 + -5p = 0 Solving 1 + -5p = 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 + -5p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5p = 0 + -1 -5p = 0 + -1 Combine like terms: 0 + -1 = -1 -5p = -1 Divide each side by '-5'. p = 0.2 Simplifying p = 0.2

Solution

p = {-0.03333333333, 0.2}

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