0=-4x^2+2x-7

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Solution for 0=-4x^2+2x-7 equation:


Simplifying
0 = -4x2 + 2x + -7

Reorder the terms:
0 = -7 + 2x + -4x2

Solving
0 = -7 + 2x + -4x2

Solving for variable 'x'.

Combine like terms: 0 + 7 = 7
7 + -2x + 4x2 = -7 + 2x + -4x2 + 7 + -2x + 4x2

Reorder the terms:
7 + -2x + 4x2 = -7 + 7 + 2x + -2x + -4x2 + 4x2

Combine like terms: -7 + 7 = 0
7 + -2x + 4x2 = 0 + 2x + -2x + -4x2 + 4x2
7 + -2x + 4x2 = 2x + -2x + -4x2 + 4x2

Combine like terms: 2x + -2x = 0
7 + -2x + 4x2 = 0 + -4x2 + 4x2
7 + -2x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
7 + -2x + 4x2 = 0

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

Divide each side by '4'.
1.75 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + -0.5x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + -0.5x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -0.5x + x2 = 0 + -1.75
-0.5x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
-0.5x + x2 = -1.75

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -1.75 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -1.75 + 0.0625

Combine like terms: -1.75 + 0.0625 = -1.6875
0.0625 + -0.5x + x2 = -1.6875

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -1.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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