g(0)=4x^2-6x+3

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Solution for g(0)=4x^2-6x+3 equation: 


Simplifying
g(0) = 4x2 + -6x + 3

Reorder the terms for easier multiplication:
0g = 4x2 + -6x + 3

Anything times zero is zero.
0g = 4x2 + -6x + 3

Reorder the terms:
0 = 3 + -6x + 4x2

Solving
0 = 3 + -6x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -3 = -3
-3 + 6x + -4x2 = 3 + -6x + 4x2 + -3 + 6x + -4x2

Reorder the terms:
-3 + 6x + -4x2 = 3 + -3 + -6x + 6x + 4x2 + -4x2

Combine like terms: 3 + -3 = 0
-3 + 6x + -4x2 = 0 + -6x + 6x + 4x2 + -4x2
-3 + 6x + -4x2 = -6x + 6x + 4x2 + -4x2

Combine like terms: -6x + 6x = 0
-3 + 6x + -4x2 = 0 + 4x2 + -4x2
-3 + 6x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + 6x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
0.75 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1.5x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1.5x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.5x + x2 = 0 + -0.75
-1.5x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1.5x + x2 = -0.75

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -0.75 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -0.75 + 0.5625

Combine like terms: -0.75 + 0.5625 = -0.1875
0.5625 + -1.5x + x2 = -0.1875

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -0.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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