2x^2+25+28=7x

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Solution for 2x^2+25+28=7x equation:


Simplifying
2x2 + 25 + 28 = 7x

Reorder the terms:
25 + 28 + 2x2 = 7x

Combine like terms: 25 + 28 = 53
53 + 2x2 = 7x

Solving
53 + 2x2 = 7x

Solving for variable 'x'.

Reorder the terms:
53 + -7x + 2x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
53 + -7x + 2x2 = 0

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

Divide each side by '2'.
26.5 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-26.5' to each side of the equation.
26.5 + -3.5x + -26.5 + x2 = 0 + -26.5

Reorder the terms:
26.5 + -26.5 + -3.5x + x2 = 0 + -26.5

Combine like terms: 26.5 + -26.5 = 0.0
0.0 + -3.5x + x2 = 0 + -26.5
-3.5x + x2 = 0 + -26.5

Combine like terms: 0 + -26.5 = -26.5
-3.5x + x2 = -26.5

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 = -26.5 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -26.5 + 3.0625

Combine like terms: -26.5 + 3.0625 = -23.4375
3.0625 + -3.5x + x2 = -23.4375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -23.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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