12x^2-27x+27=0

Simple and best practice solution for 12x^2-27x+27=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 12x^2-27x+27=0 equation: 


Simplifying
12x2 + -27x + 27 = 0

Reorder the terms:
27 + -27x + 12x2 = 0

Solving
27 + -27x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + -9x + 4x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(9 + -9x + 4x2)' equal to zero and attempt to solve:

Simplifying
9 + -9x + 4x2 = 0

Solving
9 + -9x + 4x2 = 0

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

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

Move the constant term to the right:

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

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

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

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

The x term is -2.25x.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25x + 1.265625 + x2 = -2.25 + 1.265625

Reorder the terms:
1.265625 + -2.25x + x2 = -2.25 + 1.265625

Combine like terms: -2.25 + 1.265625 = -0.984375
1.265625 + -2.25x + x2 = -0.984375

Factor a perfect square on the left side:
(x + -1.125)(x + -1.125) = -0.984375

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:

| x=-4times-8 | | 9v/8-7v/4=-3 | | 10b^2-6b=0 | | 7/2/1/5 | | u=v/12 | | 3x+8+9=-6x | | 4m(m+6)=0 | | 4y=2(75-y) | | 2(b-4)=6 | | n=15m | | 7x=y+16 | | s-15=p | | x(8x-17)=0 | | 4y=2(75-x) | | x+x(0.13)=1356 | | 27=-4(2y+7) | | x+3=14-6 | | x+x(.013)=1356 | | Y=11x^2-19 | | -w+157=92 | | 32-x=201 | | 2-1/3y=0 | | ln(.6)=1.8-ln(3x) | | y-30=1/4(x-160) | | y-30=1/4(x-160 | | 13=v/3-16 | | v/5-13=11 | | -34=w/9 | | 61271000000x+27829522500(5x)=312000 | | -y/5=42 | | x+17.5x=9435 | | -25u=-3 |

Equations solver categories