4x-28=3x^2-3x

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Solution for 4x-28=3x^2-3x equation: 


Simplifying
4x + -28 = 3x2 + -3x

Reorder the terms:
-28 + 4x = 3x2 + -3x

Reorder the terms:
-28 + 4x = -3x + 3x2

Solving
-28 + 4x = -3x + 3x2

Solving for variable 'x'.

Combine like terms: 4x + 3x = 7x
-28 + 7x + -3x2 = -3x + 3x2 + 3x + -3x2

Reorder the terms:
-28 + 7x + -3x2 = -3x + 3x + 3x2 + -3x2

Combine like terms: -3x + 3x = 0
-28 + 7x + -3x2 = 0 + 3x2 + -3x2
-28 + 7x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-28 + 7x + -3x2 = 0

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

Divide each side by '-3'.
9.333333333 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-9.333333333' to each side of the equation.
9.333333333 + -2.333333333x + -9.333333333 + x2 = 0 + -9.333333333

Reorder the terms:
9.333333333 + -9.333333333 + -2.333333333x + x2 = 0 + -9.333333333

Combine like terms: 9.333333333 + -9.333333333 = 0.000000000
0.000000000 + -2.333333333x + x2 = 0 + -9.333333333
-2.333333333x + x2 = 0 + -9.333333333

Combine like terms: 0 + -9.333333333 = -9.333333333
-2.333333333x + x2 = -9.333333333

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = -9.333333333 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -9.333333333 + 1.361111112

Combine like terms: -9.333333333 + 1.361111112 = -7.972222221
1.361111112 + -2.333333333x + x2 = -7.972222221

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -7.972222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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