3x^2+15=5x+8

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Solution for 3x^2+15=5x+8 equation: 


Simplifying
3x2 + 15 = 5x + 8

Reorder the terms:
15 + 3x2 = 5x + 8

Reorder the terms:
15 + 3x2 = 8 + 5x

Solving
15 + 3x2 = 8 + 5x

Solving for variable 'x'.

Reorder the terms:
15 + -8 + -5x + 3x2 = 8 + 5x + -8 + -5x

Combine like terms: 15 + -8 = 7
7 + -5x + 3x2 = 8 + 5x + -8 + -5x

Reorder the terms:
7 + -5x + 3x2 = 8 + -8 + 5x + -5x

Combine like terms: 8 + -8 = 0
7 + -5x + 3x2 = 0 + 5x + -5x
7 + -5x + 3x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -5x + 3x2 = 0

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

Divide each side by '3'.
2.333333333 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -1.666666667x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -1.666666667x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -1.666666667x + x2 = 0 + -2.333333333
-1.666666667x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-1.666666667x + x2 = -2.333333333

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -2.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -2.333333333 + 0.6944444447

Combine like terms: -2.333333333 + 0.6944444447 = -1.6388888883
0.6944444447 + -1.666666667x + x2 = -1.6388888883

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -1.6388888883

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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