P(1.00)+(1-p)x(-0.50)=0.10

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Solution for P(1.00)+(1-p)x(-0.50)=0.10 equation: 


Simplifying
P(1.00) + (1 + -1p) * x(-0.50) = 0.10

Reorder the terms for easier multiplication:
1.00P + (1 + -1p) * x(-0.50) = 0.10

Reorder the terms for easier multiplication:
1.00P + -0.50x(1 + -1p) = 0.10
1.00P + (1 * -0.50x + -1p * -0.50x) = 0.10

Reorder the terms:
1.00P + (0.5px + -0.5x) = 0.10
1.00P + (0.5px + -0.5x) = 0.10

Solving
1.00P + 0.5px + -0.5x = 0.10

Solving for variable 'P'.

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

Add '-0.5px' to each side of the equation.
1.00P + 0.5px + -0.5px + -0.5x = 0.10 + -0.5px

Combine like terms: 0.5px + -0.5px = 0.0
1.00P + 0.0 + -0.5x = 0.10 + -0.5px
1.00P + -0.5x = 0.10 + -0.5px

Add '0.5x' to each side of the equation.
1.00P + -0.5x + 0.5x = 0.10 + -0.5px + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
1.00P + 0.0 = 0.10 + -0.5px + 0.5x
1.00P = 0.10 + -0.5px + 0.5x

Divide each side by '1.00'.
P = 0.1 + -0.5px + 0.5x

Simplifying
P = 0.1 + -0.5px + 0.5x

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