F(0)=5x^2-7x+4

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Solution for F(0)=5x^2-7x+4 equation: 


Simplifying
F(0) = 5x2 + -7x + 4

Reorder the terms for easier multiplication:
0F = 5x2 + -7x + 4

Anything times zero is zero.
0F = 5x2 + -7x + 4

Reorder the terms:
0 = 4 + -7x + 5x2

Solving
0 = 4 + -7x + 5x2

Solving for variable 'x'.

Combine like terms: 0 + -4 = -4
-4 + 7x + -5x2 = 4 + -7x + 5x2 + -4 + 7x + -5x2

Reorder the terms:
-4 + 7x + -5x2 = 4 + -4 + -7x + 7x + 5x2 + -5x2

Combine like terms: 4 + -4 = 0
-4 + 7x + -5x2 = 0 + -7x + 7x + 5x2 + -5x2
-4 + 7x + -5x2 = -7x + 7x + 5x2 + -5x2

Combine like terms: -7x + 7x = 0
-4 + 7x + -5x2 = 0 + 5x2 + -5x2
-4 + 7x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-4 + 7x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
0.8 + -1.4x + x2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + -1.4x + -0.8 + x2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + -1.4x + x2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -1.4x + x2 = 0 + -0.8
-1.4x + x2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
-1.4x + x2 = -0.8

The x term is -1.4x.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4x + 0.49 + x2 = -0.8 + 0.49

Reorder the terms:
0.49 + -1.4x + x2 = -0.8 + 0.49

Combine like terms: -0.8 + 0.49 = -0.31
0.49 + -1.4x + x2 = -0.31

Factor a perfect square on the left side:
(x + -0.7)(x + -0.7) = -0.31

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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