3x+2(x-5)+12x^2-9x+28-(-3x)=

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Solution for 3x+2(x-5)+12x^2-9x+28-(-3x)= equation:


Simplifying
3x + 2(x + -5) + 12x2 + -9x + 28 + -1(-3x) = 0

Reorder the terms:
3x + 2(-5 + x) + 12x2 + -9x + 28 + -1(-3x) = 0
3x + (-5 * 2 + x * 2) + 12x2 + -9x + 28 + -1(-3x) = 0
3x + (-10 + 2x) + 12x2 + -9x + 28 + -1(-3x) = 0

Remove parenthesis around (-3x)
3x + -10 + 2x + 12x2 + -9x + 28 + -1 * -3x = 0

Multiply -1 * -3
3x + -10 + 2x + 12x2 + -9x + 28 + 3x = 0

Reorder the terms:
-10 + 28 + 3x + 2x + -9x + 3x + 12x2 = 0

Combine like terms: -10 + 28 = 18
18 + 3x + 2x + -9x + 3x + 12x2 = 0

Combine like terms: 3x + 2x = 5x
18 + 5x + -9x + 3x + 12x2 = 0

Combine like terms: 5x + -9x = -4x
18 + -4x + 3x + 12x2 = 0

Combine like terms: -4x + 3x = -1x
18 + -1x + 12x2 = 0

Solving
18 + -1x + 12x2 = 0

Solving for variable 'x'.

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

Divide each side by '12'.
1.5 + -0.08333333333x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.08333333333x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.08333333333x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.08333333333x + x2 = 0 + -1.5
-0.08333333333x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.08333333333x + x2 = -1.5

The x term is -0.08333333333x.  Take half its coefficient (-0.04166666667).
Square it (0.001736111111) and add it to both sides.

Add '0.001736111111' to each side of the equation.
-0.08333333333x + 0.001736111111 + x2 = -1.5 + 0.001736111111

Reorder the terms:
0.001736111111 + -0.08333333333x + x2 = -1.5 + 0.001736111111

Combine like terms: -1.5 + 0.001736111111 = -1.498263888889
0.001736111111 + -0.08333333333x + x2 = -1.498263888889

Factor a perfect square on the left side:
(x + -0.04166666667)(x + -0.04166666667) = -1.498263888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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