2x^2-17+35=2x-7

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Solution for 2x^2-17+35=2x-7 equation:


Simplifying
2x2 + -17 + 35 = 2x + -7

Reorder the terms:
-17 + 35 + 2x2 = 2x + -7

Combine like terms: -17 + 35 = 18
18 + 2x2 = 2x + -7

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

Solving
18 + 2x2 = -7 + 2x

Solving for variable 'x'.

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

Combine like terms: 18 + 7 = 25
25 + -2x + 2x2 = -7 + 2x + 7 + -2x

Reorder the terms:
25 + -2x + 2x2 = -7 + 7 + 2x + -2x

Combine like terms: -7 + 7 = 0
25 + -2x + 2x2 = 0 + 2x + -2x
25 + -2x + 2x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
25 + -2x + 2x2 = 0

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

Divide each side by '2'.
12.5 + -1x + x2 = 0

Move the constant term to the right:

Add '-12.5' to each side of the equation.
12.5 + -1x + -12.5 + x2 = 0 + -12.5

Reorder the terms:
12.5 + -12.5 + -1x + x2 = 0 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + -1x + x2 = 0 + -12.5
-1x + x2 = 0 + -12.5

Combine like terms: 0 + -12.5 = -12.5
-1x + x2 = -12.5

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -12.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -12.5 + 0.25

Combine like terms: -12.5 + 0.25 = -12.25
0.25 + -1x + x2 = -12.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -12.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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