x(p-12)x+2(p-12)x+2=0

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Solution for x(p-12)x+2(p-12)x+2=0 equation: 


Simplifying
x(p + -12) * x + 2(p + -12) * x + 2 = 0

Reorder the terms:
x(-12 + p) * x + 2(p + -12) * x + 2 = 0

Reorder the terms for easier multiplication:
x * x(-12 + p) + 2(p + -12) * x + 2 = 0

Multiply x * x
x2(-12 + p) + 2(p + -12) * x + 2 = 0
(-12 * x2 + p * x2) + 2(p + -12) * x + 2 = 0

Reorder the terms:
(px2 + -12x2) + 2(p + -12) * x + 2 = 0
(px2 + -12x2) + 2(p + -12) * x + 2 = 0

Reorder the terms:
px2 + -12x2 + 2(-12 + p) * x + 2 = 0

Reorder the terms for easier multiplication:
px2 + -12x2 + 2x(-12 + p) + 2 = 0
px2 + -12x2 + (-12 * 2x + p * 2x) + 2 = 0

Reorder the terms:
px2 + -12x2 + (2px + -24x) + 2 = 0
px2 + -12x2 + (2px + -24x) + 2 = 0

Reorder the terms:
2 + 2px + px2 + -24x + -12x2 = 0

Solving
2 + 2px + px2 + -24x + -12x2 = 0

Solving for variable 'p'.

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

Add '-2' to each side of the equation.
2 + 2px + px2 + -24x + -2 + -12x2 = 0 + -2

Reorder the terms:
2 + -2 + 2px + px2 + -24x + -12x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2px + px2 + -24x + -12x2 = 0 + -2
2px + px2 + -24x + -12x2 = 0 + -2

Combine like terms: 0 + -2 = -2
2px + px2 + -24x + -12x2 = -2

Add '24x' to each side of the equation.
2px + px2 + -24x + 24x + -12x2 = -2 + 24x

Combine like terms: -24x + 24x = 0
2px + px2 + 0 + -12x2 = -2 + 24x
2px + px2 + -12x2 = -2 + 24x

Add '12x2' to each side of the equation.
2px + px2 + -12x2 + 12x2 = -2 + 24x + 12x2

Combine like terms: -12x2 + 12x2 = 0
2px + px2 + 0 = -2 + 24x + 12x2
2px + px2 = -2 + 24x + 12x2

Reorder the terms:
2 + 2px + px2 + -24x + -12x2 = -2 + 24x + 12x2 + 2 + -24x + -12x2

Reorder the terms:
2 + 2px + px2 + -24x + -12x2 = -2 + 2 + 24x + -24x + 12x2 + -12x2

Combine like terms: -2 + 2 = 0
2 + 2px + px2 + -24x + -12x2 = 0 + 24x + -24x + 12x2 + -12x2
2 + 2px + px2 + -24x + -12x2 = 24x + -24x + 12x2 + -12x2

Combine like terms: 24x + -24x = 0
2 + 2px + px2 + -24x + -12x2 = 0 + 12x2 + -12x2
2 + 2px + px2 + -24x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
2 + 2px + px2 + -24x + -12x2 = 0

The solution to this equation could not be determined.

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