2x^2-25x+27=-15x-10

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Solution for 2x^2-25x+27=-15x-10 equation: 


Simplifying
2x2 + -25x + 27 = -15x + -10

Reorder the terms:
27 + -25x + 2x2 = -15x + -10

Reorder the terms:
27 + -25x + 2x2 = -10 + -15x

Solving
27 + -25x + 2x2 = -10 + -15x

Solving for variable 'x'.

Reorder the terms:
27 + 10 + -25x + 15x + 2x2 = -10 + -15x + 10 + 15x

Combine like terms: 27 + 10 = 37
37 + -25x + 15x + 2x2 = -10 + -15x + 10 + 15x

Combine like terms: -25x + 15x = -10x
37 + -10x + 2x2 = -10 + -15x + 10 + 15x

Reorder the terms:
37 + -10x + 2x2 = -10 + 10 + -15x + 15x

Combine like terms: -10 + 10 = 0
37 + -10x + 2x2 = 0 + -15x + 15x
37 + -10x + 2x2 = -15x + 15x

Combine like terms: -15x + 15x = 0
37 + -10x + 2x2 = 0

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

Divide each side by '2'.
18.5 + -5x + x2 = 0

Move the constant term to the right:

Add '-18.5' to each side of the equation.
18.5 + -5x + -18.5 + x2 = 0 + -18.5

Reorder the terms:
18.5 + -18.5 + -5x + x2 = 0 + -18.5

Combine like terms: 18.5 + -18.5 = 0.0
0.0 + -5x + x2 = 0 + -18.5
-5x + x2 = 0 + -18.5

Combine like terms: 0 + -18.5 = -18.5
-5x + x2 = -18.5

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -18.5 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -18.5 + 6.25

Combine like terms: -18.5 + 6.25 = -12.25
6.25 + -5x + x2 = -12.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -12.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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