2p^2+7p-49=0

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Solution for 2p^2+7p-49=0 equation: 


Simplifying
2p2 + 7p + -49 = 0

Reorder the terms:
-49 + 7p + 2p2 = 0

Solving
-49 + 7p + 2p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-7 + -1p)(7 + -2p) = 0


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

Simplifying
-7 + -1p = 0

Solving
-7 + -1p = 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 + -1p = 0 + 7

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

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

Divide each side by '-1'.
p = -7

Simplifying
p = -7

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

Simplifying
7 + -2p = 0

Solving
7 + -2p = 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 + -2p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2p = 0 + -7
-2p = 0 + -7

Combine like terms: 0 + -7 = -7
-2p = -7

Divide each side by '-2'.
p = 3.5

Simplifying
p = 3.5
Solution
p = {-7, 3.5}

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