(p-8)(4p-7)=0

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Solution for (p-8)(4p-7)=0 equation: 


Simplifying
(p + -8)(4p + -7) = 0

Reorder the terms:
(-8 + p)(4p + -7) = 0

Reorder the terms:
(-8 + p)(-7 + 4p) = 0

Multiply (-8 + p) * (-7 + 4p)
(-8(-7 + 4p) + p(-7 + 4p)) = 0
((-7 * -8 + 4p * -8) + p(-7 + 4p)) = 0
((56 + -32p) + p(-7 + 4p)) = 0
(56 + -32p + (-7 * p + 4p * p)) = 0
(56 + -32p + (-7p + 4p2)) = 0

Combine like terms: -32p + -7p = -39p
(56 + -39p + 4p2) = 0

Solving
56 + -39p + 4p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(7 + -4p)(8 + -1p) = 0


Subproblem 1
Set the factor '(7 + -4p)' equal to zero and attempt to solve:

Simplifying
7 + -4p = 0

Solving
7 + -4p = 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 + -4p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4p = 0 + -7
-4p = 0 + -7

Combine like terms: 0 + -7 = -7
-4p = -7

Divide each side by '-4'.
p = 1.75

Simplifying
p = 1.75

Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve:

Simplifying
8 + -1p = 0

Solving
8 + -1p = 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 + -1p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1p = 0 + -8
-1p = 0 + -8

Combine like terms: 0 + -8 = -8
-1p = -8

Divide each side by '-1'.
p = 8

Simplifying
p = 8
Solution
p = {1.75, 8}

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