5x^2-3x+9-(4x-11+2x^2)=

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Solution for 5x^2-3x+9-(4x-11+2x^2)= equation: 


Simplifying
5x2 + -3x + 9 + -1(4x + -11 + 2x2) = 0

Reorder the terms:
5x2 + -3x + 9 + -1(-11 + 4x + 2x2) = 0
5x2 + -3x + 9 + (-11 * -1 + 4x * -1 + 2x2 * -1) = 0
5x2 + -3x + 9 + (11 + -4x + -2x2) = 0

Reorder the terms:
9 + 11 + -3x + -4x + 5x2 + -2x2 = 0

Combine like terms: 9 + 11 = 20
20 + -3x + -4x + 5x2 + -2x2 = 0

Combine like terms: -3x + -4x = -7x
20 + -7x + 5x2 + -2x2 = 0

Combine like terms: 5x2 + -2x2 = 3x2
20 + -7x + 3x2 = 0

Solving
20 + -7x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
6.666666667 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + -2.333333333x + -6.666666667 + x2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + -2.333333333x + x2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + -2.333333333x + x2 = 0 + -6.666666667
-2.333333333x + x2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
-2.333333333x + x2 = -6.666666667

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 = -6.666666667 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -6.666666667 + 1.361111112

Combine like terms: -6.666666667 + 1.361111112 = -5.305555555
1.361111112 + -2.333333333x + x2 = -5.305555555

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -5.305555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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