30=5t-0.5*9.8*t^2

Simple and best practice solution for 30=5t-0.5*9.8*t^2 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 30=5t-0.5*9.8*t^2 equation: 


Simplifying
30 = 5t + -0.5 * 9.8t2

Multiply -0.5 * 9.8
30 = 5t + -4.9t2

Solving
30 = 5t + -4.9t2

Solving for variable 't'.

Reorder the terms:
30 + -5t + 4.9t2 = 5t + -5t + -4.9t2 + 4.9t2

Combine like terms: 5t + -5t = 0
30 + -5t + 4.9t2 = 0 + -4.9t2 + 4.9t2
30 + -5t + 4.9t2 = -4.9t2 + 4.9t2

Combine like terms: -4.9t2 + 4.9t2 = 0.0
30 + -5t + 4.9t2 = 0.0

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

Divide each side by '4.9'.
6.12244898 + -1.020408163t + t2 = 0

Move the constant term to the right:

Add '-6.12244898' to each side of the equation.
6.12244898 + -1.020408163t + -6.12244898 + t2 = 0 + -6.12244898

Reorder the terms:
6.12244898 + -6.12244898 + -1.020408163t + t2 = 0 + -6.12244898

Combine like terms: 6.12244898 + -6.12244898 = 0.00000000
0.00000000 + -1.020408163t + t2 = 0 + -6.12244898
-1.020408163t + t2 = 0 + -6.12244898

Combine like terms: 0 + -6.12244898 = -6.12244898
-1.020408163t + t2 = -6.12244898

The t term is -1.020408163t.  Take half its coefficient (-0.5102040815).
Square it (0.2603082048) and add it to both sides.

Add '0.2603082048' to each side of the equation.
-1.020408163t + 0.2603082048 + t2 = -6.12244898 + 0.2603082048

Reorder the terms:
0.2603082048 + -1.020408163t + t2 = -6.12244898 + 0.2603082048

Combine like terms: -6.12244898 + 0.2603082048 = -5.8621407752
0.2603082048 + -1.020408163t + t2 = -5.8621407752

Factor a perfect square on the left side:
(t + -0.5102040815)(t + -0.5102040815) = -5.8621407752

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| (13-6)*w=0 | | 0=5*2t+0.5*9.8*t^2 | | 21x^2-8x-5=0 | | Y=-2(-8)+10 | | 4+3k=-2+4K | | 0=5t-0.5*9.8*t^2 | | 7x+4y+5=0 | | 77=5x-13 | | x^2+y^2-12x+10y+11=0h | | Y=-2(8)+10 | | Solve(3i)x^2+(2-4i)x+12-2i=0 | | (x-2)(x+3i)(x-3i)(x-4+i)(x-4-i)=0 | | 225=.13x | | 9x-1=12x | | 3a^2-4a+1= | | 5[x+3(2-x)]=4x+1 | | 16a^2+12a=0 | | 4x(x+9x)=1 | | Y=-2(1)+10 | | -x+9x+6=14 | | 6+5x=3x+8 | | 3x=10x+14 | | 4.9x^2+3.072x-10=0 | | 6x-5-3x+2= | | 22/180=5/x | | 4x=-2y-5 | | 161x^2+56x+sqrt(7x^2-3)-48=0 | | n(x-7)=5(x-7) | | .20x+.05(2-x)=.10(-23) | | 363n-2=1/6 | | (1/2)r=-6 | | 12=-16t^2+8t-12 |

Equations solver categories