30x^2-27x+27=0

Simple and best practice solution for 30x^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 30x^2-27x+27=0 equation: 


Simplifying
30x2 + -27x + 27 = 0

Reorder the terms:
27 + -27x + 30x2 = 0

Solving
27 + -27x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + -9x + 10x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(9 + -9x + 10x2)' equal to zero and attempt to solve:

Simplifying
9 + -9x + 10x2 = 0

Solving
9 + -9x + 10x2 = 0

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

Divide each side by '10'.
0.9 + -0.9x + x2 = 0.0

Move the constant term to the right:

Add '-0.9' to each side of the equation.
0.9 + -0.9x + -0.9 + x2 = 0.0 + -0.9

Reorder the terms:
0.9 + -0.9 + -0.9x + x2 = 0.0 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -0.9x + x2 = 0.0 + -0.9
-0.9x + x2 = 0.0 + -0.9

Combine like terms: 0.0 + -0.9 = -0.9
-0.9x + x2 = -0.9

The x term is -0.9x.  Take half its coefficient (-0.45).
Square it (0.2025) and add it to both sides.

Add '0.2025' to each side of the equation.
-0.9x + 0.2025 + x2 = -0.9 + 0.2025

Reorder the terms:
0.2025 + -0.9x + x2 = -0.9 + 0.2025

Combine like terms: -0.9 + 0.2025 = -0.6975
0.2025 + -0.9x + x2 = -0.6975

Factor a perfect square on the left side:
(x + -0.45)(x + -0.45) = -0.6975

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:

| 5-2y=20 | | 38.82+0.50x=80 | | -3t-4(t-5)=-8t-4 | | Ploty=3x-1 | | 4n-20+11=3 | | 1.8x=-0.4x | | x^2+6x+36=36 | | -5(r+9)=-81 | | 12b^2=15b | | b-5b=12 | | 2x-8+x+17= | | 2(2t-1)-3(t+1)=0 | | 4(2x-1)+5(2x+5)= | | 3/2+x/10=1/5 | | 39.45x+0.50=130 | | -5x^2+8x=0 | | z(5z-3)(4z+1)=0 | | 1.58g-8=0.69 | | 20x=12x | | 6-(2n-9)=8-3n | | n-4=3n+16 | | 37.9+0.50x=130 | | -1a+1=15 | | 8m^2-78m+19=0 | | (6x+5)+(36)=10x-7 | | 2w+3w-4w= | | 3/2+x/10=11 | | 3-4(x-1)=0 | | 4x^2-70X+124=0 | | n+4=3.2 | | 4x+12=7x+30 | | 85x=c-60 |

Equations solver categories