F(x)=5x^2-50x

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Solution for F(x)=5x^2-50x equation:


Simplifying
F(x) = 5x2 + -50x

Multiply F * x
xF = 5x2 + -50x

Reorder the terms:
xF = -50x + 5x2

Solving
xF = -50x + 5x2

Solving for variable 'x'.

Reorder the terms:
50x + xF + -5x2 = -50x + 5x2 + 50x + -5x2

Reorder the terms:
50x + xF + -5x2 = -50x + 50x + 5x2 + -5x2

Combine like terms: -50x + 50x = 0
50x + xF + -5x2 = 0 + 5x2 + -5x2
50x + xF + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
50x + xF + -5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(50 + F + -5x) = 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 '(50 + F + -5x)' equal to zero and attempt to solve: Simplifying 50 + F + -5x = 0 Solving 50 + F + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + F + -50 + -5x = 0 + -50 Reorder the terms: 50 + -50 + F + -5x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + F + -5x = 0 + -50 F + -5x = 0 + -50 Combine like terms: 0 + -50 = -50 F + -5x = -50 Add '-1F' to each side of the equation. F + -1F + -5x = -50 + -1F Combine like terms: F + -1F = 0 0 + -5x = -50 + -1F -5x = -50 + -1F Divide each side by '-5'. x = 10 + 0.2F Simplifying x = 10 + 0.2F

Solution

x = {0, 10 + 0.2F}

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