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

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


Simplifying
F(x) = 2x2 + -2x

Multiply F * x
xF = 2x2 + -2x

Reorder the terms:
xF = -2x + 2x2

Solving
xF = -2x + 2x2

Solving for variable 'x'.

Reorder the terms:
2x + xF + -2x2 = -2x + 2x2 + 2x + -2x2

Reorder the terms:
2x + xF + -2x2 = -2x + 2x + 2x2 + -2x2

Combine like terms: -2x + 2x = 0
2x + xF + -2x2 = 0 + 2x2 + -2x2
2x + xF + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2x + xF + -2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + F + -2x) = 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 '(2 + F + -2x)' equal to zero and attempt to solve: Simplifying 2 + F + -2x = 0 Solving 2 + F + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + F + -2 + -2x = 0 + -2 Reorder the terms: 2 + -2 + F + -2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + F + -2x = 0 + -2 F + -2x = 0 + -2 Combine like terms: 0 + -2 = -2 F + -2x = -2 Add '-1F' to each side of the equation. F + -1F + -2x = -2 + -1F Combine like terms: F + -1F = 0 0 + -2x = -2 + -1F -2x = -2 + -1F Divide each side by '-2'. x = 1 + 0.5F Simplifying x = 1 + 0.5F

Solution

x = {0, 1 + 0.5F}

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