f(0)=8x^2-7x+3

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Solution for f(0)=8x^2-7x+3 equation:


Simplifying
f(0) = 8x2 + -7x + 3

Reorder the terms for easier multiplication:
0f = 8x2 + -7x + 3

Anything times zero is zero.
0f = 8x2 + -7x + 3

Reorder the terms:
0 = 3 + -7x + 8x2

Solving
0 = 3 + -7x + 8x2

Solving for variable 'x'.

Combine like terms: 0 + -3 = -3
-3 + 7x + -8x2 = 3 + -7x + 8x2 + -3 + 7x + -8x2

Reorder the terms:
-3 + 7x + -8x2 = 3 + -3 + -7x + 7x + 8x2 + -8x2

Combine like terms: 3 + -3 = 0
-3 + 7x + -8x2 = 0 + -7x + 7x + 8x2 + -8x2
-3 + 7x + -8x2 = -7x + 7x + 8x2 + -8x2

Combine like terms: -7x + 7x = 0
-3 + 7x + -8x2 = 0 + 8x2 + -8x2
-3 + 7x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-3 + 7x + -8x2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
0.375 + -0.875x + x2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + -0.875x + -0.375 + x2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + -0.875x + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + -0.875x + x2 = 0 + -0.375
-0.875x + x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
-0.875x + x2 = -0.375

The x term is -0.875x.  Take half its coefficient (-0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
-0.875x + 0.19140625 + x2 = -0.375 + 0.19140625

Reorder the terms:
0.19140625 + -0.875x + x2 = -0.375 + 0.19140625

Combine like terms: -0.375 + 0.19140625 = -0.18359375
0.19140625 + -0.875x + x2 = -0.18359375

Factor a perfect square on the left side:
(x + -0.4375)(x + -0.4375) = -0.18359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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