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

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


Simplifying
(p + 6) * x2 + -2px + 1 = 0

Reorder the terms:
(6 + p) * x2 + -2px + 1 = 0

Reorder the terms for easier multiplication:
x2(6 + p) + -2px + 1 = 0
(6 * x2 + p * x2) + -2px + 1 = 0

Reorder the terms:
(px2 + 6x2) + -2px + 1 = 0
(px2 + 6x2) + -2px + 1 = 0

Reorder the terms:
1 + -2px + px2 + 6x2 = 0

Solving
1 + -2px + px2 + 6x2 = 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 + -2px + px2 + -1 + 6x2 = 0 + -1

Reorder the terms:
1 + -1 + -2px + px2 + 6x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2px + px2 + 6x2 = 0 + -1
-2px + px2 + 6x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-2px + px2 + 6x2 = -1

Add '-6x2' to each side of the equation.
-2px + px2 + 6x2 + -6x2 = -1 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-2px + px2 + 0 = -1 + -6x2
-2px + px2 = -1 + -6x2

Reorder the terms:
1 + -2px + px2 + 6x2 = -1 + -6x2 + 1 + 6x2

Reorder the terms:
1 + -2px + px2 + 6x2 = -1 + 1 + -6x2 + 6x2

Combine like terms: -1 + 1 = 0
1 + -2px + px2 + 6x2 = 0 + -6x2 + 6x2
1 + -2px + px2 + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
1 + -2px + px2 + 6x2 = 0

The solution to this equation could not be determined.

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