3t^2-16t+25=0

Simple and best practice solution for 3t^2-16t+25=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 3t^2-16t+25=0 equation: 


Simplifying
3t2 + -16t + 25 = 0

Reorder the terms:
25 + -16t + 3t2 = 0

Solving
25 + -16t + 3t2 = 0

Solving for variable 't'.

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

Divide each side by '3'.
8.333333333 + -5.333333333t + t2 = 0

Move the constant term to the right:

Add '-8.333333333' to each side of the equation.
8.333333333 + -5.333333333t + -8.333333333 + t2 = 0 + -8.333333333

Reorder the terms:
8.333333333 + -8.333333333 + -5.333333333t + t2 = 0 + -8.333333333

Combine like terms: 8.333333333 + -8.333333333 = 0.000000000
0.000000000 + -5.333333333t + t2 = 0 + -8.333333333
-5.333333333t + t2 = 0 + -8.333333333

Combine like terms: 0 + -8.333333333 = -8.333333333
-5.333333333t + t2 = -8.333333333

The t term is -5.333333333t.  Take half its coefficient (-2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
-5.333333333t + 7.111111113 + t2 = -8.333333333 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333t + t2 = -8.333333333 + 7.111111113

Combine like terms: -8.333333333 + 7.111111113 = -1.22222222
7.111111113 + -5.333333333t + t2 = -1.22222222

Factor a perfect square on the left side:
(t + -2.666666667)(t + -2.666666667) = -1.22222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 20000(799920+p)=100000x(p-20) | | -8(7-4r)-9r= | | 9x-7=9x-45 | | -5+8.5=14.2 | | -12x-150=-x+59 | | (y*tan(xy))dx+(x*tan(xy))dy=0 | | y=-432x^5-128x^2 | | 3x+X=952 | | 12x=842 | | 88=8(2n+5) | | 269.50-14=v | | 3(8m-6)+3(2-8m)=5m-5m | | -32+3.2=9.75 | | 2x-xy=2 | | y+23=55 | | p(-6)=20x+6 | | 4-6+F=2 | | 6m^2+2m=7 | | 1.10+0.95m=12.50 | | 8x^2-91=-16x-6 | | 15+0.50m=25-0.25m | | -1x=-19 | | 5x+60=150 | | 0.02(y-1)+0.08y=.14y-0.01(40) | | (2y-9)-(6y-7)=-4y-2 | | (26x+22)=(38x+20) | | 6(10+3a)+5=5(a+11) | | 5(x+2)=4(2x-1)-3x | | -99=-6h | | 8+[2c-1]=4 | | 4x+2y=16.40 | | Xy^3-3x+y=0 |

Equations solver categories