7p^2+45p+12=-5p+5

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Solution for 7p^2+45p+12=-5p+5 equation: 


Simplifying
7p2 + 45p + 12 = -5p + 5

Reorder the terms:
12 + 45p + 7p2 = -5p + 5

Reorder the terms:
12 + 45p + 7p2 = 5 + -5p

Solving
12 + 45p + 7p2 = 5 + -5p

Solving for variable 'p'.

Reorder the terms:
12 + -5 + 45p + 5p + 7p2 = 5 + -5p + -5 + 5p

Combine like terms: 12 + -5 = 7
7 + 45p + 5p + 7p2 = 5 + -5p + -5 + 5p

Combine like terms: 45p + 5p = 50p
7 + 50p + 7p2 = 5 + -5p + -5 + 5p

Reorder the terms:
7 + 50p + 7p2 = 5 + -5 + -5p + 5p

Combine like terms: 5 + -5 = 0
7 + 50p + 7p2 = 0 + -5p + 5p
7 + 50p + 7p2 = -5p + 5p

Combine like terms: -5p + 5p = 0
7 + 50p + 7p2 = 0

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


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

Simplifying
7 + p = 0

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

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

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

Simplifying
p = -7

Subproblem 2
Set the factor '(1 + 7p)' equal to zero and attempt to solve:

Simplifying
1 + 7p = 0

Solving
1 + 7p = 0

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

Add '-1' to each side of the equation.
1 + -1 + 7p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7p = 0 + -1
7p = 0 + -1

Combine like terms: 0 + -1 = -1
7p = -1

Divide each side by '7'.
p = -0.1428571429

Simplifying
p = -0.1428571429
Solution
p = {-7, -0.1428571429}

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