(1-p)x^2-6x+10=0

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Solution for (1-p)x^2-6x+10=0 equation:


Simplifying
(1 + -1p) * x2 + -6x + 10 = 0

Reorder the terms for easier multiplication:
x2(1 + -1p) + -6x + 10 = 0
(1 * x2 + -1p * x2) + -6x + 10 = 0

Reorder the terms:
(-1px2 + 1x2) + -6x + 10 = 0
(-1px2 + 1x2) + -6x + 10 = 0

Reorder the terms:
10 + -1px2 + -6x + 1x2 = 0

Solving
10 + -1px2 + -6x + 1x2 = 0

Solving for variable 'p'.

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

Add '-10' to each side of the equation.
10 + -1px2 + -6x + -10 + 1x2 = 0 + -10

Reorder the terms:
10 + -10 + -1px2 + -6x + 1x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1px2 + -6x + 1x2 = 0 + -10
-1px2 + -6x + 1x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-1px2 + -6x + 1x2 = -10

Add '6x' to each side of the equation.
-1px2 + -6x + 6x + 1x2 = -10 + 6x

Combine like terms: -6x + 6x = 0
-1px2 + 0 + 1x2 = -10 + 6x
-1px2 + 1x2 = -10 + 6x

Add '-1x2' to each side of the equation.
-1px2 + 1x2 + -1x2 = -10 + 6x + -1x2

Combine like terms: 1x2 + -1x2 = 0
-1px2 + 0 = -10 + 6x + -1x2
-1px2 = -10 + 6x + -1x2

Divide each side by '-1x2'.
p = 10x-2 + -6x-1 + 1

Simplifying
p = 10x-2 + -6x-1 + 1

Reorder the terms:
p = 1 + 10x-2 + -6x-1

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