5t^2-t+120=0

Simple and best practice solution for 5t^2-t+120=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 5t^2-t+120=0 equation:


Simplifying
5t2 + -1t + 120 = 0

Reorder the terms:
120 + -1t + 5t2 = 0

Solving
120 + -1t + 5t2 = 0

Solving for variable 't'.

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

Divide each side by '5'.
24 + -0.2t + t2 = 0

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -0.2t + -24 + t2 = 0 + -24

Reorder the terms:
24 + -24 + -0.2t + t2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -0.2t + t2 = 0 + -24
-0.2t + t2 = 0 + -24

Combine like terms: 0 + -24 = -24
-0.2t + t2 = -24

The t term is -0.2t.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2t + 0.01 + t2 = -24 + 0.01

Reorder the terms:
0.01 + -0.2t + t2 = -24 + 0.01

Combine like terms: -24 + 0.01 = -23.99
0.01 + -0.2t + t2 = -23.99

Factor a perfect square on the left side:
(t + -0.1)(t + -0.1) = -23.99

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2(x-1)=x-8 | | 8x+5y=-49 | | tan(x)=0.8 | | 7+8k=88 | | a=(/d1-d2)h | | f(1/x)=4/x | | f(1/x)=4x | | 6y^3-4y^2)/(2y^2) | | 11times2/3 | | -15+1a=2a^2 | | 0.5y=-6x+1 | | 3x+4x-26=180 | | 44/50=x/60 | | 5e^8x=1280 | | 1.6x= | | 45/50=x/60 | | 1.6x+75= | | 3x(1.25)+.75x=13.50 | | 6x^2+390=0 | | 3x(1.25)+x=13.50 | | 5y-4/6 | | x+3(x)=13.50 | | 9/32×5/6×8/15 | | 3+w=5.50 | | 3x+x=13.50 | | 0.08+m=31.80 | | 15-w=205 | | 5.6-6.8=43.27 | | 2(w+3)=5w+30 | | 25x^2-20x-192=0 | | 5(w-1)-3=-5(-4w+1)-3w | | 5y+5=4y-9 |

Equations solver categories