5x-10=x^2+2x+18

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Solution for 5x-10=x^2+2x+18 equation: 


Simplifying
5x + -10 = x2 + 2x + 18

Reorder the terms:
-10 + 5x = x2 + 2x + 18

Reorder the terms:
-10 + 5x = 18 + 2x + x2

Solving
-10 + 5x = 18 + 2x + x2

Solving for variable 'x'.

Reorder the terms:
-10 + -18 + 5x + -2x + -1x2 = 18 + 2x + x2 + -18 + -2x + -1x2

Combine like terms: -10 + -18 = -28
-28 + 5x + -2x + -1x2 = 18 + 2x + x2 + -18 + -2x + -1x2

Combine like terms: 5x + -2x = 3x
-28 + 3x + -1x2 = 18 + 2x + x2 + -18 + -2x + -1x2

Reorder the terms:
-28 + 3x + -1x2 = 18 + -18 + 2x + -2x + x2 + -1x2

Combine like terms: 18 + -18 = 0
-28 + 3x + -1x2 = 0 + 2x + -2x + x2 + -1x2
-28 + 3x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
-28 + 3x + -1x2 = 0 + x2 + -1x2
-28 + 3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-28 + 3x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
28 + -3x + x2 = 0

Move the constant term to the right:

Add '-28' to each side of the equation.
28 + -3x + -28 + x2 = 0 + -28

Reorder the terms:
28 + -28 + -3x + x2 = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -3x + x2 = 0 + -28
-3x + x2 = 0 + -28

Combine like terms: 0 + -28 = -28
-3x + x2 = -28

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -28 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -28 + 2.25

Combine like terms: -28 + 2.25 = -25.75
2.25 + -3x + x2 = -25.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -25.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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