F(0)=3x^2+2x-1

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Solution for F(0)=3x^2+2x-1 equation: 


Simplifying
F(0) = 3x2 + 2x + -1

Reorder the terms for easier multiplication:
0F = 3x2 + 2x + -1

Anything times zero is zero.
0F = 3x2 + 2x + -1

Reorder the terms:
0 = -1 + 2x + 3x2

Solving
0 = -1 + 2x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 1 = 1
1 + -2x + -3x2 = -1 + 2x + 3x2 + 1 + -2x + -3x2

Reorder the terms:
1 + -2x + -3x2 = -1 + 1 + 2x + -2x + 3x2 + -3x2

Combine like terms: -1 + 1 = 0
1 + -2x + -3x2 = 0 + 2x + -2x + 3x2 + -3x2
1 + -2x + -3x2 = 2x + -2x + 3x2 + -3x2

Combine like terms: 2x + -2x = 0
1 + -2x + -3x2 = 0 + 3x2 + -3x2
1 + -2x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
1 + -2x + -3x2 = 0

Factor a trinomial.
(1 + -3x)(1 + x) = 0


Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {0.3333333333, -1}

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