-x^2+6x-14=0

Simple and best practice solution for -x^2+6x-14=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 -x^2+6x-14=0 equation:


Simplifying
-1x2 + 6x + -14 = 0

Reorder the terms:
-14 + 6x + -1x2 = 0

Solving
-14 + 6x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
14 + -6x + x2 = 0

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -6x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + -6x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -6x + x2 = 0 + -14
-6x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-6x + x2 = -14

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -14 + 9

Reorder the terms:
9 + -6x + x2 = -14 + 9

Combine like terms: -14 + 9 = -5
9 + -6x + x2 = -5

Factor a perfect square on the left side:
(x + -3)(x + -3) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 5-3y=14x+5 | | 16x-22+4y=0 | | -3(4x+8)-5x=7(2x+5)-11 | | 8x-6-6y=18 | | 12=6x-3y | | 38-11y=44x+5 | | 5c-10d=8c-15d-3c+5d | | 12x-189=6x-9 | | 149-2x=25x+23 | | 3x-4=13x-4 | | 3x+19=11-53 | | 2x(x+2)(x-4)=0 | | 8=4c-2c+c-2 | | 13t-78+5t=18t+12-10 | | 18t=18t+80 | | 0=.25x^3(x^2-2) | | 4=x^2+2 | | 18x=18x+80 | | 2x^2-3=-21 | | 0=.25x^3(x^2-9) | | -5-6+p=2 | | 5+4n=17 | | 8+2n=4 | | 4x^2-9x+23=6x+9 | | 0.18x=14 | | 5(x+9)=15 | | 4(-5)=28 | | x-7.2=-6.6 | | x+2=(6+5) | | -10+10= | | n/5=4 | | 2x^2+6x-110=0 |

Equations solver categories