F(x)=6x^2+x

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Solution for F(x)=6x^2+x equation:


Simplifying
F(x) = 6x2 + x

Multiply F * x
xF = 6x2 + x

Reorder the terms:
xF = x + 6x2

Solving
xF = x + 6x2

Solving for variable 'x'.

Reorder the terms:
-1x + xF + -6x2 = x + 6x2 + -1x + -6x2

Reorder the terms:
-1x + xF + -6x2 = x + -1x + 6x2 + -6x2

Combine like terms: x + -1x = 0
-1x + xF + -6x2 = 0 + 6x2 + -6x2
-1x + xF + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-1x + xF + -6x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + F + -6x) = 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 '(-1 + F + -6x)' equal to zero and attempt to solve: Simplifying -1 + F + -6x = 0 Solving -1 + F + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + F + 1 + -6x = 0 + 1 Reorder the terms: -1 + 1 + F + -6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + F + -6x = 0 + 1 F + -6x = 0 + 1 Combine like terms: 0 + 1 = 1 F + -6x = 1 Add '-1F' to each side of the equation. F + -1F + -6x = 1 + -1F Combine like terms: F + -1F = 0 0 + -6x = 1 + -1F -6x = 1 + -1F Divide each side by '-6'. x = -0.1666666667 + 0.1666666667F Simplifying x = -0.1666666667 + 0.1666666667F

Solution

x = {0, -0.1666666667 + 0.1666666667F}

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