(p-1)x^2+6x+(p+7)=0

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Solution for (p-1)x^2+6x+(p+7)=0 equation: 


Simplifying
(p + -1) * x2 + 6x + (p + 7) = 0

Reorder the terms:
(-1 + p) * x2 + 6x + (p + 7) = 0

Reorder the terms for easier multiplication:
x2(-1 + p) + 6x + (p + 7) = 0
(-1 * x2 + p * x2) + 6x + (p + 7) = 0

Reorder the terms:
(px2 + -1x2) + 6x + (p + 7) = 0
(px2 + -1x2) + 6x + (p + 7) = 0

Reorder the terms:
px2 + -1x2 + 6x + (7 + p) = 0

Remove parenthesis around (7 + p)
px2 + -1x2 + 6x + 7 + p = 0

Reorder the terms:
7 + p + px2 + 6x + -1x2 = 0

Solving
7 + p + px2 + 6x + -1x2 = 0

Solving for variable 'p'.

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

Add '-7' to each side of the equation.
7 + p + px2 + 6x + -7 + -1x2 = 0 + -7

Reorder the terms:
7 + -7 + p + px2 + 6x + -1x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + p + px2 + 6x + -1x2 = 0 + -7
p + px2 + 6x + -1x2 = 0 + -7

Combine like terms: 0 + -7 = -7
p + px2 + 6x + -1x2 = -7

Add '-6x' to each side of the equation.
p + px2 + 6x + -6x + -1x2 = -7 + -6x

Combine like terms: 6x + -6x = 0
p + px2 + 0 + -1x2 = -7 + -6x
p + px2 + -1x2 = -7 + -6x

Add 'x2' to each side of the equation.
p + px2 + -1x2 + x2 = -7 + -6x + x2

Combine like terms: -1x2 + x2 = 0
p + px2 + 0 = -7 + -6x + x2
p + px2 = -7 + -6x + x2

Reorder the terms:
7 + p + px2 + 6x + -1x2 = -7 + -6x + x2 + 7 + 6x + -1x2

Reorder the terms:
7 + p + px2 + 6x + -1x2 = -7 + 7 + -6x + 6x + x2 + -1x2

Combine like terms: -7 + 7 = 0
7 + p + px2 + 6x + -1x2 = 0 + -6x + 6x + x2 + -1x2
7 + p + px2 + 6x + -1x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
7 + p + px2 + 6x + -1x2 = 0 + x2 + -1x2
7 + p + px2 + 6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
7 + p + px2 + 6x + -1x2 = 0

The solution to this equation could not be determined.

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