3x(3x+4)-10=-x+2(2x-19)

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Solution for 3x(3x+4)-10=-x+2(2x-19) equation: 


Simplifying
3x(3x + 4) + -10 = -1x + 2(2x + -19)

Reorder the terms:
3x(4 + 3x) + -10 = -1x + 2(2x + -19)
(4 * 3x + 3x * 3x) + -10 = -1x + 2(2x + -19)
(12x + 9x2) + -10 = -1x + 2(2x + -19)

Reorder the terms:
-10 + 12x + 9x2 = -1x + 2(2x + -19)

Reorder the terms:
-10 + 12x + 9x2 = -1x + 2(-19 + 2x)
-10 + 12x + 9x2 = -1x + (-19 * 2 + 2x * 2)
-10 + 12x + 9x2 = -1x + (-38 + 4x)

Reorder the terms:
-10 + 12x + 9x2 = -38 + -1x + 4x

Combine like terms: -1x + 4x = 3x
-10 + 12x + 9x2 = -38 + 3x

Solving
-10 + 12x + 9x2 = -38 + 3x

Solving for variable 'x'.

Reorder the terms:
-10 + 38 + 12x + -3x + 9x2 = -38 + 3x + 38 + -3x

Combine like terms: -10 + 38 = 28
28 + 12x + -3x + 9x2 = -38 + 3x + 38 + -3x

Combine like terms: 12x + -3x = 9x
28 + 9x + 9x2 = -38 + 3x + 38 + -3x

Reorder the terms:
28 + 9x + 9x2 = -38 + 38 + 3x + -3x

Combine like terms: -38 + 38 = 0
28 + 9x + 9x2 = 0 + 3x + -3x
28 + 9x + 9x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
28 + 9x + 9x2 = 0

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

Divide each side by '9'.
3.111111111 + x + x2 = 0

Move the constant term to the right:

Add '-3.111111111' to each side of the equation.
3.111111111 + x + -3.111111111 + x2 = 0 + -3.111111111

Reorder the terms:
3.111111111 + -3.111111111 + x + x2 = 0 + -3.111111111

Combine like terms: 3.111111111 + -3.111111111 = 0.000000000
0.000000000 + x + x2 = 0 + -3.111111111
x + x2 = 0 + -3.111111111

Combine like terms: 0 + -3.111111111 = -3.111111111
x + x2 = -3.111111111

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -3.111111111 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -3.111111111 + 0.25

Combine like terms: -3.111111111 + 0.25 = -2.861111111
1.25 + x2 = -2.861111111

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -2.861111111

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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