3r^2-24r+112=0

Simple and best practice solution for 3r^2-24r+112=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 3r^2-24r+112=0 equation:


Simplifying
3r2 + -24r + 112 = 0

Reorder the terms:
112 + -24r + 3r2 = 0

Solving
112 + -24r + 3r2 = 0

Solving for variable 'r'.

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

Divide each side by '3'.
37.33333333 + -8r + r2 = 0

Move the constant term to the right:

Add '-37.33333333' to each side of the equation.
37.33333333 + -8r + -37.33333333 + r2 = 0 + -37.33333333

Reorder the terms:
37.33333333 + -37.33333333 + -8r + r2 = 0 + -37.33333333

Combine like terms: 37.33333333 + -37.33333333 = 0.00000000
0.00000000 + -8r + r2 = 0 + -37.33333333
-8r + r2 = 0 + -37.33333333

Combine like terms: 0 + -37.33333333 = -37.33333333
-8r + r2 = -37.33333333

The r term is -8r.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8r + 16 + r2 = -37.33333333 + 16

Reorder the terms:
16 + -8r + r2 = -37.33333333 + 16

Combine like terms: -37.33333333 + 16 = -21.33333333
16 + -8r + r2 = -21.33333333

Factor a perfect square on the left side:
(r + -4)(r + -4) = -21.33333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| y=-1x-6 | | 3r^2-28r+112=0 | | 2x^2+17x+35=0 | | y=1x-6 | | 2n^2+21n-11=0 | | x^2+16x-144=0 | | -5x^2+20x=0 | | -5x^2+20x-20=0 | | (5v-3)(4+v)=0 | | 2x-17=13-5x | | 5x+7=7-(6x-4) | | x*6+11=4x+45 | | 25r^2+90rd+81d^2= | | 3x+5=2x+1 | | -10p+9+=12 | | 4(3x+2)=46 | | 52-5x=22x+19 | | 3(x+-2)=-15 | | 8x+8=4-(5x-6) | | 7x+5(-3+1)=13 | | 4(3x+2)=31 | | 3x^4-34x^2+28=0 | | 5x+8=24 | | 8x(8-5)-50=5x(x-7) | | 4-3(5-4x)=0 | | 12x-8x=48 | | p=2m+2w | | 12*-8x=48 | | 3-7(5x+8)=9 | | (800+7*0.9)*x=6*1.5*x | | 35+b=-90 | | -27=w-14 |

Equations solver categories