(4p-7)*(p+5)=0

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Solution for (4p-7)*(p+5)=0 equation: 


Simplifying
(4p + -7)(p + 5) = 0

Reorder the terms:
(-7 + 4p)(p + 5) = 0

Reorder the terms:
(-7 + 4p)(5 + p) = 0

Multiply (-7 + 4p) * (5 + p)
(-7(5 + p) + 4p * (5 + p)) = 0
((5 * -7 + p * -7) + 4p * (5 + p)) = 0
((-35 + -7p) + 4p * (5 + p)) = 0
(-35 + -7p + (5 * 4p + p * 4p)) = 0
(-35 + -7p + (20p + 4p2)) = 0

Combine like terms: -7p + 20p = 13p
(-35 + 13p + 4p2) = 0

Solving
-35 + 13p + 4p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-5 + -1p)(7 + -4p) = 0


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

Simplifying
-5 + -1p = 0

Solving
-5 + -1p = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1p = 0 + 5
-1p = 0 + 5

Combine like terms: 0 + 5 = 5
-1p = 5

Divide each side by '-1'.
p = -5

Simplifying
p = -5

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 = {-5, 1.75}

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