4x^2+1x+8=7

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Solution for 4x^2+1x+8=7 equation:


Simplifying
4x2 + 1x + 8 = 7

Reorder the terms:
8 + 1x + 4x2 = 7

Solving
8 + 1x + 4x2 = 7

Solving for variable 'x'.

Reorder the terms:
8 + -7 + 1x + 4x2 = 7 + -7

Combine like terms: 8 + -7 = 1
1 + 1x + 4x2 = 7 + -7

Combine like terms: 7 + -7 = 0
1 + 1x + 4x2 = 0

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

Divide each side by '4'.
0.25 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + 0.25x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + 0.25x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.25x + x2 = 0 + -0.25
0.25x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
0.25x + x2 = -0.25

The x term is 0.25x.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x + 0.015625 + x2 = -0.25 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = -0.25 + 0.015625

Combine like terms: -0.25 + 0.015625 = -0.234375
0.015625 + 0.25x + x2 = -0.234375

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = -0.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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