(5p-8)(5p-7)=0

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Solution for (5p-8)(5p-7)=0 equation: 


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

Reorder the terms:
(-8 + 5p)(5p + -7) = 0

Reorder the terms:
(-8 + 5p)(-7 + 5p) = 0

Multiply (-8 + 5p) * (-7 + 5p)
(-8(-7 + 5p) + 5p * (-7 + 5p)) = 0
((-7 * -8 + 5p * -8) + 5p * (-7 + 5p)) = 0
((56 + -40p) + 5p * (-7 + 5p)) = 0
(56 + -40p + (-7 * 5p + 5p * 5p)) = 0
(56 + -40p + (-35p + 25p2)) = 0

Combine like terms: -40p + -35p = -75p
(56 + -75p + 25p2) = 0

Solving
56 + -75p + 25p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(7 + -5p)(8 + -5p) = 0


Subproblem 1
Set the factor '(7 + -5p)' equal to zero and attempt to solve:

Simplifying
7 + -5p = 0

Solving
7 + -5p = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5p = 0 + -7
-5p = 0 + -7

Combine like terms: 0 + -7 = -7
-5p = -7

Divide each side by '-5'.
p = 1.4

Simplifying
p = 1.4

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 = {1.4, 1.6}

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