q^2-16q+275=0

Simple and best practice solution for q^2-16q+275=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 q^2-16q+275=0 equation:


Simplifying
q2 + -16q + 275 = 0

Reorder the terms:
275 + -16q + q2 = 0

Solving
275 + -16q + q2 = 0

Solving for variable 'q'.

Begin completing the square.

Move the constant term to the right:

Add '-275' to each side of the equation.
275 + -16q + -275 + q2 = 0 + -275

Reorder the terms:
275 + -275 + -16q + q2 = 0 + -275

Combine like terms: 275 + -275 = 0
0 + -16q + q2 = 0 + -275
-16q + q2 = 0 + -275

Combine like terms: 0 + -275 = -275
-16q + q2 = -275

The q term is -16q.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16q + 64 + q2 = -275 + 64

Reorder the terms:
64 + -16q + q2 = -275 + 64

Combine like terms: -275 + 64 = -211
64 + -16q + q2 = -211

Factor a perfect square on the left side:
(q + -8)(q + -8) = -211

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4 = v-2+ 5 | | 16/140=x/60 | | 5b+6=132-10 | | (2x+1)+x+13=72 | | -6(x-7)=66 | | 14m+5n-4m+9m= | | 6r+3t=-18 | | 2x+3(-7x+4)=145 | | 6r+3t=-13 | | 3+4b=-13 | | 2(3a-6)=3(2a-4) | | 5=-7+-t | | 2-12x=62 | | x^3+5x^2-6=0 | | 8r-5t=-60 | | -9(x-24)=3(x+24) | | -2(x+9)=12+3x | | 5=18x+6 | | 8x-7+3x-x= | | -13x+18y+10=0 | | 10x+1+10x= | | 48/0.06 | | 5x=6x+48 | | 5x-2+3x-14=0 | | logx=-5.6 | | 2(3x-4)=-22x | | 9 = f3+ 5 | | w^3+7w^2-4w-28=0 | | 3x+5=2(x-5)-x | | f(2)=7x+8 | | 2(x+4)=6x+8 | | 3x+47=122 |

Equations solver categories