t^2+15t+18=0

Simple and best practice solution for t^2+15t+18=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 t^2+15t+18=0 equation: 


Simplifying
t2 + 15t + 18 = 0

Reorder the terms:
18 + 15t + t2 = 0

Solving
18 + 15t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + 15t + -18 + t2 = 0 + -18

Reorder the terms:
18 + -18 + 15t + t2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 15t + t2 = 0 + -18
15t + t2 = 0 + -18

Combine like terms: 0 + -18 = -18
15t + t2 = -18

The t term is 15t.  Take half its coefficient (7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
15t + 56.25 + t2 = -18 + 56.25

Reorder the terms:
56.25 + 15t + t2 = -18 + 56.25

Combine like terms: -18 + 56.25 = 38.25
56.25 + 15t + t2 = 38.25

Factor a perfect square on the left side:
(t + 7.5)(t + 7.5) = 38.25

Calculate the square root of the right side: 6.184658438

Break this problem into two subproblems by setting 
(t + 7.5) equal to 6.184658438 and -6.184658438.


Subproblem 1
t + 7.5 = 6.184658438

Simplifying
t + 7.5 = 6.184658438

Reorder the terms:
7.5 + t = 6.184658438

Solving
7.5 + t = 6.184658438

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-7.5' to each side of the equation.
7.5 + -7.5 + t = 6.184658438 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + t = 6.184658438 + -7.5
t = 6.184658438 + -7.5

Combine like terms: 6.184658438 + -7.5 = -1.315341562
t = -1.315341562

Simplifying
t = -1.315341562


Subproblem 2
t + 7.5 = -6.184658438

Simplifying
t + 7.5 = -6.184658438

Reorder the terms:
7.5 + t = -6.184658438

Solving
7.5 + t = -6.184658438

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-7.5' to each side of the equation.
7.5 + -7.5 + t = -6.184658438 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + t = -6.184658438 + -7.5
t = -6.184658438 + -7.5

Combine like terms: -6.184658438 + -7.5 = -13.684658438
t = -13.684658438

Simplifying
t = -13.684658438


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {-1.315341562, -13.684658438}

See similar equations:

| y=-.2(6000)+20 | | 6m-m+6=42 | | 5*5+6= | | -2y=-2x-4 | | 15500=.2x+20 | | -2y=-2-4 | | 2y-5(y+3)=2y+5 | | h+8=57 | | 2(x+3)+3(x-10)=28 | | |3/4x-5|=-7 | | -5=3-2q | | 11x-25=6x+35 | | -5+3p=7 | | 1/2-2/3w=-4/5 | | 115(I)=10long(I/10^-12) | | 17w=8w+81 | | 7=2b+3 | | x=34y+19 | | 9x+7=9x-27 | | y=0.12+0.6x | | 3w=38 | | 1+-2h=-7 | | 94=4y | | 1.2j-4.3=1.2 | | 10x-216=0 | | 189=-6x | | d/3-5=-1 | | 4+-2j=8 | | Inx^2-ln(5)=0 | | 3x^2-29x+46=0 | | Inx^2-ln^5=0 | | 50t+0.05t^2=1500 |

Equations solver categories