0.9=5t^2+50t

Simple and best practice solution for 0.9=5t^2+50t 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 0.9=5t^2+50t equation:


Simplifying
0.9 = 5t2 + 50t

Reorder the terms:
0.9 = 50t + 5t2

Solving
0.9 = 50t + 5t2

Solving for variable 't'.

Reorder the terms:
0.9 + -50t + -5t2 = 50t + -50t + 5t2 + -5t2

Combine like terms: 50t + -50t = 0
0.9 + -50t + -5t2 = 0 + 5t2 + -5t2
0.9 + -50t + -5t2 = 5t2 + -5t2

Combine like terms: 5t2 + -5t2 = 0
0.9 + -50t + -5t2 = 0

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

Divide each side by '-5'.
-0.18 + 10t + t2 = 0

Move the constant term to the right:

Add '0.18' to each side of the equation.
-0.18 + 10t + 0.18 + t2 = 0 + 0.18

Reorder the terms:
-0.18 + 0.18 + 10t + t2 = 0 + 0.18

Combine like terms: -0.18 + 0.18 = 0.00
0.00 + 10t + t2 = 0 + 0.18
10t + t2 = 0 + 0.18

Combine like terms: 0 + 0.18 = 0.18
10t + t2 = 0.18

The t term is 10t.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10t + 25 + t2 = 0.18 + 25

Reorder the terms:
25 + 10t + t2 = 0.18 + 25

Combine like terms: 0.18 + 25 = 25.18
25 + 10t + t2 = 25.18

Factor a perfect square on the left side:
(t + 5)(t + 5) = 25.18

Calculate the square root of the right side: 5.017967716

Break this problem into two subproblems by setting 
(t + 5) equal to 5.017967716 and -5.017967716.

Subproblem 1

t + 5 = 5.017967716 Simplifying t + 5 = 5.017967716 Reorder the terms: 5 + t = 5.017967716 Solving 5 + t = 5.017967716 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + t = 5.017967716 + -5 Combine like terms: 5 + -5 = 0 0 + t = 5.017967716 + -5 t = 5.017967716 + -5 Combine like terms: 5.017967716 + -5 = 0.017967716 t = 0.017967716 Simplifying t = 0.017967716

Subproblem 2

t + 5 = -5.017967716 Simplifying t + 5 = -5.017967716 Reorder the terms: 5 + t = -5.017967716 Solving 5 + t = -5.017967716 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + t = -5.017967716 + -5 Combine like terms: 5 + -5 = 0 0 + t = -5.017967716 + -5 t = -5.017967716 + -5 Combine like terms: -5.017967716 + -5 = -10.017967716 t = -10.017967716 Simplifying t = -10.017967716

Solution

The solution to the problem is based on the solutions from the subproblems. t = {0.017967716, -10.017967716}

See similar equations:

| -0.8/100= | | 11y-21=3y+19 | | 7x+9x-2x-5=37 | | 12x+7y=35 | | -7x-94=41-12x | | 12x+2x=98 | | 4x-27=9+x | | 3(2x-1)+1=7x-7 | | V=8w-3 | | (4x-27)=(X+9) | | -45=(2x-3) | | 2x-12=4x-28 | | 3x+7+3x-7= | | 37=-3+5[1x+6] | | 66+6x=12x | | 9y=6x+10 | | 2lx+2l=10 | | 2x+(2x+-10)=70 | | -5(3t-4)+4t=6t-4 | | X+x+(x-30)+(x-40)= | | 4(2-2g)-(6-10g)=-(-15-8g)-(11g-4) | | 78+11x=24x | | 10[1+3l]=-20 | | 2x+4-8x=-2(3x+2) | | t-18=15 | | 2x-5=-x+4 | | -3(5x+2)=9 | | 2-2g= | | 3.5y+12=19 | | 5x+7+3=17 | | A=93 | | -8[-8k-6]=-6k-22 |

Equations solver categories