7p^2+40p-63=0

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Solution for 7p^2+40p-63=0 equation: 


Simplifying
7p2 + 40p + -63 = 0

Reorder the terms:
-63 + 40p + 7p2 = 0

Solving
-63 + 40p + 7p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-7 + -1p)(9 + -7p) = 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 '(9 + -7p)' equal to zero and attempt to solve:

Simplifying
9 + -7p = 0

Solving
9 + -7p = 0

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

Add '-9' to each side of the equation.
9 + -9 + -7p = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -7p = 0 + -9
-7p = 0 + -9

Combine like terms: 0 + -9 = -9
-7p = -9

Divide each side by '-7'.
p = 1.285714286

Simplifying
p = 1.285714286
Solution
p = {-7, 1.285714286}

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