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

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


Simplifying
f(0) = 2x2 + -3x + 4

Reorder the terms for easier multiplication:
0f = 2x2 + -3x + 4

Anything times zero is zero.
0f = 2x2 + -3x + 4

Reorder the terms:
0 = 4 + -3x + 2x2

Solving
0 = 4 + -3x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -4 = -4
-4 + 3x + -2x2 = 4 + -3x + 2x2 + -4 + 3x + -2x2

Reorder the terms:
-4 + 3x + -2x2 = 4 + -4 + -3x + 3x + 2x2 + -2x2

Combine like terms: 4 + -4 = 0
-4 + 3x + -2x2 = 0 + -3x + 3x + 2x2 + -2x2
-4 + 3x + -2x2 = -3x + 3x + 2x2 + -2x2

Combine like terms: -3x + 3x = 0
-4 + 3x + -2x2 = 0 + 2x2 + -2x2
-4 + 3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-4 + 3x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
2 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1.5x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -1.5x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1.5x + x2 = 0 + -2
-1.5x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1.5x + x2 = -2

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 = -2 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -2 + 0.5625

Combine like terms: -2 + 0.5625 = -1.4375
0.5625 + -1.5x + x2 = -1.4375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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