p(-4)+(1-p)(2)=p(3)+(1-p)(0)

Solution for p(-4)+(1-p)(2)=p(3)+(1-p)(0) equation:

Simplifying
p(-4) + (1 + -1p)(2) = p(3) + (1 + -1p)(0)

Reorder the terms for easier multiplication:
-4p + (1 + -1p)(2) = p(3) + (1 + -1p)(0)

Reorder the terms for easier multiplication:
-4p + 2(1 + -1p) = p(3) + (1 + -1p)(0)
-4p + (1 * 2 + -1p * 2) = p(3) + (1 + -1p)(0)
-4p + (2 + -2p) = p(3) + (1 + -1p)(0)

Reorder the terms:
2 + -4p + -2p = p(3) + (1 + -1p)(0)

Combine like terms: -4p + -2p = -6p
2 + -6p = p(3) + (1 + -1p)(0)

Reorder the terms for easier multiplication:
2 + -6p = 3p + (1 + -1p)(0)

Reorder the terms for easier multiplication:
2 + -6p = 3p + 0(1 + -1p)

Anything times zero is zero.
2 + -6p = 3p + 0(1 + -1p)

Reorder the terms:
2 + -6p = 0 + 3p
Remove the zero:
2 + -6p = 3p

Solving
2 + -6p = 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
2 + -6p + -3p = 3p + -3p

Combine like terms: -6p + -3p = -9p
2 + -9p = 3p + -3p

Combine like terms: 3p + -3p = 0
2 + -9p = 0

Add '-2' to each side of the equation.
2 + -2 + -9p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9p = 0 + -2
-9p = 0 + -2

Combine like terms: 0 + -2 = -2
-9p = -2

Divide each side by '-9'.
p = 0.2222222222

Simplifying
p = 0.2222222222