f(0)=4x^2-3x+5

Solution for f(0)=4x^2-3x+5 equation:

Simplifying
f(0) = 4x2 + -3x + 5

Reorder the terms for easier multiplication:
0f = 4x2 + -3x + 5

Anything times zero is zero.
0f = 4x2 + -3x + 5

Reorder the terms:
0 = 5 + -3x + 4x2

Solving
0 = 5 + -3x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -5 = -5
-5 + 3x + -4x2 = 5 + -3x + 4x2 + -5 + 3x + -4x2

Reorder the terms:
-5 + 3x + -4x2 = 5 + -5 + -3x + 3x + 4x2 + -4x2

Combine like terms: 5 + -5 = 0
-5 + 3x + -4x2 = 0 + -3x + 3x + 4x2 + -4x2
-5 + 3x + -4x2 = -3x + 3x + 4x2 + -4x2

Combine like terms: -3x + 3x = 0
-5 + 3x + -4x2 = 0 + 4x2 + -4x2
-5 + 3x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-5 + 3x + -4x2 = 0

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

Divide each side by '-4'.
1.25 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -0.75x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -0.75x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -0.75x + x2 = 0 + -1.25
-0.75x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-0.75x + x2 = -1.25

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -1.25 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -1.25 + 0.140625

Combine like terms: -1.25 + 0.140625 = -1.109375
0.140625 + -0.75x + x2 = -1.109375

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.