(6p+8)(5p-8)=0

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Solution for (6p+8)(5p-8)=0 equation: 


Simplifying
(6p + 8)(5p + -8) = 0

Reorder the terms:
(8 + 6p)(5p + -8) = 0

Reorder the terms:
(8 + 6p)(-8 + 5p) = 0

Multiply (8 + 6p) * (-8 + 5p)
(8(-8 + 5p) + 6p * (-8 + 5p)) = 0
((-8 * 8 + 5p * 8) + 6p * (-8 + 5p)) = 0
((-64 + 40p) + 6p * (-8 + 5p)) = 0
(-64 + 40p + (-8 * 6p + 5p * 6p)) = 0
(-64 + 40p + (-48p + 30p2)) = 0

Combine like terms: 40p + -48p = -8p
(-64 + -8p + 30p2) = 0

Solving
-64 + -8p + 30p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-32 + -4p + 15p2) = 0

Factor a trinomial.
2((-4 + -3p)(8 + -5p)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -3p)' equal to zero and attempt to solve:

Simplifying
-4 + -3p = 0

Solving
-4 + -3p = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3p = 0 + 4
-3p = 0 + 4

Combine like terms: 0 + 4 = 4
-3p = 4

Divide each side by '-3'.
p = -1.333333333

Simplifying
p = -1.333333333

Subproblem 2
Set the factor '(8 + -5p)' equal to zero and attempt to solve:

Simplifying
8 + -5p = 0

Solving
8 + -5p = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5p = 0 + -8
-5p = 0 + -8

Combine like terms: 0 + -8 = -8
-5p = -8

Divide each side by '-5'.
p = 1.6

Simplifying
p = 1.6
Solution
p = {-1.333333333, 1.6}

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