9x^2-30x+66=0

Simple and best practice solution for 9x^2-30x+66=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 9x^2-30x+66=0 equation: 


Simplifying
9x2 + -30x + 66 = 0

Reorder the terms:
66 + -30x + 9x2 = 0

Solving
66 + -30x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(22 + -10x + 3x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(22 + -10x + 3x2)' equal to zero and attempt to solve:

Simplifying
22 + -10x + 3x2 = 0

Solving
22 + -10x + 3x2 = 0

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

Divide each side by '3'.
7.333333333 + -3.333333333x + x2 = 0

Move the constant term to the right:

Add '-7.333333333' to each side of the equation.
7.333333333 + -3.333333333x + -7.333333333 + x2 = 0 + -7.333333333

Reorder the terms:
7.333333333 + -7.333333333 + -3.333333333x + x2 = 0 + -7.333333333

Combine like terms: 7.333333333 + -7.333333333 = 0.000000000
0.000000000 + -3.333333333x + x2 = 0 + -7.333333333
-3.333333333x + x2 = 0 + -7.333333333

Combine like terms: 0 + -7.333333333 = -7.333333333
-3.333333333x + x2 = -7.333333333

The x term is -3.333333333x.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333x + 2.777777779 + x2 = -7.333333333 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333x + x2 = -7.333333333 + 2.777777779

Combine like terms: -7.333333333 + 2.777777779 = -4.555555554
2.777777779 + -3.333333333x + x2 = -4.555555554

Factor a perfect square on the left side:
(x + -1.666666667)(x + -1.666666667) = -4.555555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 940=5(x+17) | | 9x+19=X+3 | | 6h^2=-5h+3 | | -2g+9g=-7 | | x/2-4=3 | | 3-8*6+2= | | 17p-79=-4p^2-2 | | -0.5x+3.46=-9.0x+3.86 | | x^2+2y^2=34 | | 5=9f+2f^2 | | -2(-5x+2)=16 | | 5x-4+4x=87-4x | | -20u^2+55u=35 | | -6(1+1x)=-78 | | 12-1/2x=20 | | 3d^2+d-2=0 | | -2(-9+5x)=-72 | | 5x-1=-5x-11 | | -3y=75 | | -7n^2-8n-9=-8n^2 | | -6x+5=3x-22 | | 20a^2+30ac= | | 10-2x+4x=32 | | G^2=13-12g | | -3+5x-7x=-5 | | 2x+10=2x+2 | | -9+5x+6x=-97 | | 5x+1+5=9 | | 12+4p= | | 5P+4P+8P= | | x2/2-3/4=71/4 | | Y-8=45 |

Equations solver categories