(2x^2)-5x+6x+15=0

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Solution for (2x^2)-5x+6x+15=0 equation:


Simplifying
(2x2) + -5x + 6x + 15 = 0

Reorder the terms:
15 + -5x + 6x + (2x2) = 0

Combine like terms: -5x + 6x = 1x
15 + 1x + (2x2) = 0

Solving
15 + 1x + (2x2) = 0

Solving for variable 'x'.

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

Divide each side by '2'.
7.5 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + 0.5x + -7.5 + x2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + 0.5x + x2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 0.5x + x2 = 0 + -7.5
0.5x + x2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
0.5x + x2 = -7.5

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 = -7.5 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -7.5 + 0.0625

Combine like terms: -7.5 + 0.0625 = -7.4375
0.0625 + 0.5x + x2 = -7.4375

Factor a perfect square on the left side:
((x) + 0.25)((x) + 0.25) = -7.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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