P(x)=-250x^2+125x

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Solution for P(x)=-250x^2+125x equation:


Simplifying
P(x) = -250x2 + 125x

Multiply P * x
xP = -250x2 + 125x

Reorder the terms:
xP = 125x + -250x2

Solving
xP = 125x + -250x2

Solving for variable 'x'.

Reorder the terms:
-125x + xP + 250x2 = 125x + -250x2 + -125x + 250x2

Reorder the terms:
-125x + xP + 250x2 = 125x + -125x + -250x2 + 250x2

Combine like terms: 125x + -125x = 0
-125x + xP + 250x2 = 0 + -250x2 + 250x2
-125x + xP + 250x2 = -250x2 + 250x2

Combine like terms: -250x2 + 250x2 = 0
-125x + xP + 250x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-125 + P + 250x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-125 + P + 250x)' equal to zero and attempt to solve: Simplifying -125 + P + 250x = 0 Solving -125 + P + 250x = 0 Move all terms containing x to the left, all other terms to the right. Add '125' to each side of the equation. -125 + P + 125 + 250x = 0 + 125 Reorder the terms: -125 + 125 + P + 250x = 0 + 125 Combine like terms: -125 + 125 = 0 0 + P + 250x = 0 + 125 P + 250x = 0 + 125 Combine like terms: 0 + 125 = 125 P + 250x = 125 Add '-1P' to each side of the equation. P + -1P + 250x = 125 + -1P Combine like terms: P + -1P = 0 0 + 250x = 125 + -1P 250x = 125 + -1P Divide each side by '250'. x = 0.5 + -0.004P Simplifying x = 0.5 + -0.004P

Solution

x = {0, 0.5 + -0.004P}

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