2x(3x+5)+2=5x-14

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Solution for 2x(3x+5)+2=5x-14 equation: 


Simplifying
2x(3x + 5) + 2 = 5x + -14

Reorder the terms:
2x(5 + 3x) + 2 = 5x + -14
(5 * 2x + 3x * 2x) + 2 = 5x + -14
(10x + 6x2) + 2 = 5x + -14

Reorder the terms:
2 + 10x + 6x2 = 5x + -14

Reorder the terms:
2 + 10x + 6x2 = -14 + 5x

Solving
2 + 10x + 6x2 = -14 + 5x

Solving for variable 'x'.

Reorder the terms:
2 + 14 + 10x + -5x + 6x2 = -14 + 5x + 14 + -5x

Combine like terms: 2 + 14 = 16
16 + 10x + -5x + 6x2 = -14 + 5x + 14 + -5x

Combine like terms: 10x + -5x = 5x
16 + 5x + 6x2 = -14 + 5x + 14 + -5x

Reorder the terms:
16 + 5x + 6x2 = -14 + 14 + 5x + -5x

Combine like terms: -14 + 14 = 0
16 + 5x + 6x2 = 0 + 5x + -5x
16 + 5x + 6x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
16 + 5x + 6x2 = 0

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

Divide each side by '6'.
2.666666667 + 0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 0.8333333333x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 0.8333333333x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 0.8333333333x + x2 = 0 + -2.666666667
0.8333333333x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
0.8333333333x + x2 = -2.666666667

The x term is 0.8333333333x.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333x + 0.1736111111 + x2 = -2.666666667 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333x + x2 = -2.666666667 + 0.1736111111

Combine like terms: -2.666666667 + 0.1736111111 = -2.4930555559
0.1736111111 + 0.8333333333x + x2 = -2.4930555559

Factor a perfect square on the left side:
(x + 0.4166666667)(x + 0.4166666667) = -2.4930555559

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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