4p^2+25p-56=0

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Solution for 4p^2+25p-56=0 equation: 


Simplifying
4p2 + 25p + -56 = 0

Reorder the terms:
-56 + 25p + 4p2 = 0

Solving
-56 + 25p + 4p2 = 0

Solving for variable 'p'.

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


Subproblem 1
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

Subproblem 2
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
Solution
p = {-8, 1.75}

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