2x^2+x+(p-1)=0

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

Simplifying
2x2 + x + (p + -1) = 0

Reorder the terms:
2x2 + x + (-1 + p) = 0

Remove parenthesis around (-1 + p)
2x2 + x + -1 + p = 0

Reorder the terms:
-1 + p + x + 2x2 = 0

Solving
-1 + p + x + 2x2 = 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 + p + x + 1 + 2x2 = 0 + 1

Reorder the terms:
-1 + 1 + p + x + 2x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + p + x + 2x2 = 0 + 1
p + x + 2x2 = 0 + 1

Combine like terms: 0 + 1 = 1
p + x + 2x2 = 1

Add '-1x' to each side of the equation.
p + x + -1x + 2x2 = 1 + -1x

Combine like terms: x + -1x = 0
p + 0 + 2x2 = 1 + -1x
p + 2x2 = 1 + -1x

Add '-2x2' to each side of the equation.
p + 2x2 + -2x2 = 1 + -1x + -2x2

Combine like terms: 2x2 + -2x2 = 0
p + 0 = 1 + -1x + -2x2
p = 1 + -1x + -2x2

Simplifying
p = 1 + -1x + -2x2