4x-3x^2-x+2=30

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Solution for 4x-3x^2-x+2=30 equation: 


Simplifying
4x + -3x2 + -1x + 2 = 30

Reorder the terms:
2 + 4x + -1x + -3x2 = 30

Combine like terms: 4x + -1x = 3x
2 + 3x + -3x2 = 30

Solving
2 + 3x + -3x2 = 30

Solving for variable 'x'.

Reorder the terms:
2 + -30 + 3x + -3x2 = 30 + -30

Combine like terms: 2 + -30 = -28
-28 + 3x + -3x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-28 + 3x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
9.333333333 + -1x + x2 = 0

Move the constant term to the right:

Add '-9.333333333' to each side of the equation.
9.333333333 + -1x + -9.333333333 + x2 = 0 + -9.333333333

Reorder the terms:
9.333333333 + -9.333333333 + -1x + x2 = 0 + -9.333333333

Combine like terms: 9.333333333 + -9.333333333 = 0.000000000
0.000000000 + -1x + x2 = 0 + -9.333333333
-1x + x2 = 0 + -9.333333333

Combine like terms: 0 + -9.333333333 = -9.333333333
-1x + x2 = -9.333333333

The x term is -1x.  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.
-1x + 0.25 + x2 = -9.333333333 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -9.333333333 + 0.25

Combine like terms: -9.333333333 + 0.25 = -9.083333333
0.25 + -1x + x2 = -9.083333333

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -9.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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