2x^2-7x+18=6

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Solution for 2x^2-7x+18=6 equation:


Simplifying
2x2 + -7x + 18 = 6

Reorder the terms:
18 + -7x + 2x2 = 6

Solving
18 + -7x + 2x2 = 6

Solving for variable 'x'.

Reorder the terms:
18 + -6 + -7x + 2x2 = 6 + -6

Combine like terms: 18 + -6 = 12
12 + -7x + 2x2 = 6 + -6

Combine like terms: 6 + -6 = 0
12 + -7x + 2x2 = 0

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

Divide each side by '2'.
6 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -3.5x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -3.5x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3.5x + x2 = 0 + -6
-3.5x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-3.5x + x2 = -6

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 = -6 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -6 + 3.0625

Combine like terms: -6 + 3.0625 = -2.9375
3.0625 + -3.5x + x2 = -2.9375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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