3x(2x+1)-2(3-x)=-35

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Solution for 3x(2x+1)-2(3-x)=-35 equation: 


Simplifying
3x(2x + 1) + -2(3 + -1x) = -35

Reorder the terms:
3x(1 + 2x) + -2(3 + -1x) = -35
(1 * 3x + 2x * 3x) + -2(3 + -1x) = -35
(3x + 6x2) + -2(3 + -1x) = -35
3x + 6x2 + (3 * -2 + -1x * -2) = -35
3x + 6x2 + (-6 + 2x) = -35

Reorder the terms:
-6 + 3x + 2x + 6x2 = -35

Combine like terms: 3x + 2x = 5x
-6 + 5x + 6x2 = -35

Solving
-6 + 5x + 6x2 = -35

Solving for variable 'x'.

Reorder the terms:
-6 + 35 + 5x + 6x2 = -35 + 35

Combine like terms: -6 + 35 = 29
29 + 5x + 6x2 = -35 + 35

Combine like terms: -35 + 35 = 0
29 + 5x + 6x2 = 0

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

Divide each side by '6'.
4.833333333 + 0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-4.833333333' to each side of the equation.
4.833333333 + 0.8333333333x + -4.833333333 + x2 = 0 + -4.833333333

Reorder the terms:
4.833333333 + -4.833333333 + 0.8333333333x + x2 = 0 + -4.833333333

Combine like terms: 4.833333333 + -4.833333333 = 0.000000000
0.000000000 + 0.8333333333x + x2 = 0 + -4.833333333
0.8333333333x + x2 = 0 + -4.833333333

Combine like terms: 0 + -4.833333333 = -4.833333333
0.8333333333x + x2 = -4.833333333

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 = -4.833333333 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333x + x2 = -4.833333333 + 0.1736111111

Combine like terms: -4.833333333 + 0.1736111111 = -4.6597222219
0.1736111111 + 0.8333333333x + x2 = -4.6597222219

Factor a perfect square on the left side:
(x + 0.4166666667)(x + 0.4166666667) = -4.6597222219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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