0=2x^2-7x+7

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


Simplifying
0 = 2x2 + -7x + 7

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

Solving
0 = 7 + -7x + 2x2

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '-2'.
3.5 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -3.5x + -3.5 + x2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -3.5x + x2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -3.5x + x2 = 0 + -3.5
-3.5x + x2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-3.5x + x2 = -3.5

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -3.5 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -3.5 + 3.0625

Combine like terms: -3.5 + 3.0625 = -0.4375
3.0625 + -3.5x + x2 = -0.4375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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