4x^2+3x+12=3-3x

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Solution for 4x^2+3x+12=3-3x equation: 


Simplifying
4x2 + 3x + 12 = 3 + -3x

Reorder the terms:
12 + 3x + 4x2 = 3 + -3x

Solving
12 + 3x + 4x2 = 3 + -3x

Solving for variable 'x'.

Reorder the terms:
12 + -3 + 3x + 3x + 4x2 = 3 + -3x + -3 + 3x

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

Combine like terms: 3x + 3x = 6x
9 + 6x + 4x2 = 3 + -3x + -3 + 3x

Reorder the terms:
9 + 6x + 4x2 = 3 + -3 + -3x + 3x

Combine like terms: 3 + -3 = 0
9 + 6x + 4x2 = 0 + -3x + 3x
9 + 6x + 4x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
9 + 6x + 4x2 = 0

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

Divide each side by '4'.
2.25 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + 1.5x + -2.25 + x2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + 1.5x + x2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + 1.5x + x2 = 0 + -2.25
1.5x + x2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
1.5x + x2 = -2.25

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = -2.25 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -2.25 + 0.5625

Combine like terms: -2.25 + 0.5625 = -1.6875
0.5625 + 1.5x + x2 = -1.6875

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = -1.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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