-5p(p-7)-7p(-8p+1)=

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Solution for -5p(p-7)-7p(-8p+1)= equation: 


Simplifying
-5p(p + -7) + -7p(-8p + 1) = 0

Reorder the terms:
-5p(-7 + p) + -7p(-8p + 1) = 0
(-7 * -5p + p * -5p) + -7p(-8p + 1) = 0
(35p + -5p2) + -7p(-8p + 1) = 0

Reorder the terms:
35p + -5p2 + -7p(1 + -8p) = 0
35p + -5p2 + (1 * -7p + -8p * -7p) = 0
35p + -5p2 + (-7p + 56p2) = 0

Reorder the terms:
35p + -7p + -5p2 + 56p2 = 0

Combine like terms: 35p + -7p = 28p
28p + -5p2 + 56p2 = 0

Combine like terms: -5p2 + 56p2 = 51p2
28p + 51p2 = 0

Solving
28p + 51p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(28 + 51p) = 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 '(28 + 51p)' equal to zero and attempt to solve:

Simplifying
28 + 51p = 0

Solving
28 + 51p = 0

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

Add '-28' to each side of the equation.
28 + -28 + 51p = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 51p = 0 + -28
51p = 0 + -28

Combine like terms: 0 + -28 = -28
51p = -28

Divide each side by '51'.
p = -0.5490196078

Simplifying
p = -0.5490196078
Solution
p = {0, -0.5490196078}

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