x^2+5x-p+1=0

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Solution for x^2+5x-p+1=0 equation:


Simplifying
x2 + 5x + -1p + 1 = 0

Reorder the terms:
1 + -1p + 5x + x2 = 0

Solving
1 + -1p + 5x + x2 = 0

Solving for variable 'p'.

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

Add '-1' to each side of the equation.
1 + -1p + 5x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1p + 5x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1p + 5x + x2 = 0 + -1
-1p + 5x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1p + 5x + x2 = -1

Add '-5x' to each side of the equation.
-1p + 5x + -5x + x2 = -1 + -5x

Combine like terms: 5x + -5x = 0
-1p + 0 + x2 = -1 + -5x
-1p + x2 = -1 + -5x

Add '-1x2' to each side of the equation.
-1p + x2 + -1x2 = -1 + -5x + -1x2

Combine like terms: x2 + -1x2 = 0
-1p + 0 = -1 + -5x + -1x2
-1p = -1 + -5x + -1x2

Divide each side by '-1'.
p = 1 + 5x + x2

Simplifying
p = 1 + 5x + x2

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