15t^2+4t-20=0

Simple and best practice solution for 15t^2+4t-20=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 15t^2+4t-20=0 equation: 


Simplifying
15t2 + 4t + -20 = 0

Reorder the terms:
-20 + 4t + 15t2 = 0

Solving
-20 + 4t + 15t2 = 0

Solving for variable 't'.

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

Divide each side by '15'.
-1.333333333 + 0.2666666667t + t2 = 0

Move the constant term to the right:

Add '1.333333333' to each side of the equation.
-1.333333333 + 0.2666666667t + 1.333333333 + t2 = 0 + 1.333333333

Reorder the terms:
-1.333333333 + 1.333333333 + 0.2666666667t + t2 = 0 + 1.333333333

Combine like terms: -1.333333333 + 1.333333333 = 0.000000000
0.000000000 + 0.2666666667t + t2 = 0 + 1.333333333
0.2666666667t + t2 = 0 + 1.333333333

Combine like terms: 0 + 1.333333333 = 1.333333333
0.2666666667t + t2 = 1.333333333

The t term is 0.2666666667t.  Take half its coefficient (0.1333333334).
Square it (0.01777777780) and add it to both sides.

Add '0.01777777780' to each side of the equation.
0.2666666667t + 0.01777777780 + t2 = 1.333333333 + 0.01777777780

Reorder the terms:
0.01777777780 + 0.2666666667t + t2 = 1.333333333 + 0.01777777780

Combine like terms: 1.333333333 + 0.01777777780 = 1.3511111108
0.01777777780 + 0.2666666667t + t2 = 1.3511111108

Factor a perfect square on the left side:
(t + 0.1333333334)(t + 0.1333333334) = 1.3511111108

Calculate the square root of the right side: 1.162373051

Break this problem into two subproblems by setting 
(t + 0.1333333334) equal to 1.162373051 and -1.162373051.


Subproblem 1
t + 0.1333333334 = 1.162373051

Simplifying
t + 0.1333333334 = 1.162373051

Reorder the terms:
0.1333333334 + t = 1.162373051

Solving
0.1333333334 + t = 1.162373051

Solving for variable 't'.

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

Add '-0.1333333334' to each side of the equation.
0.1333333334 + -0.1333333334 + t = 1.162373051 + -0.1333333334

Combine like terms: 0.1333333334 + -0.1333333334 = 0.0000000000
0.0000000000 + t = 1.162373051 + -0.1333333334
t = 1.162373051 + -0.1333333334

Combine like terms: 1.162373051 + -0.1333333334 = 1.0290397176
t = 1.0290397176

Simplifying
t = 1.0290397176


Subproblem 2
t + 0.1333333334 = -1.162373051

Simplifying
t + 0.1333333334 = -1.162373051

Reorder the terms:
0.1333333334 + t = -1.162373051

Solving
0.1333333334 + t = -1.162373051

Solving for variable 't'.

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

Add '-0.1333333334' to each side of the equation.
0.1333333334 + -0.1333333334 + t = -1.162373051 + -0.1333333334

Combine like terms: 0.1333333334 + -0.1333333334 = 0.0000000000
0.0000000000 + t = -1.162373051 + -0.1333333334
t = -1.162373051 + -0.1333333334

Combine like terms: -1.162373051 + -0.1333333334 = -1.2957063844
t = -1.2957063844

Simplifying
t = -1.2957063844


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {1.0290397176, -1.2957063844}

See similar equations:

| 1/6-4=11 | | 2/5a-3=17 | | 2x^2/7x | | .5x+.1y=6.8 | | R=5x+23 | | 5x+y=68 | | .50x+.10y=6.8 | | f(x)=10F(18) | | 9x=200*10 | | 9x=180*10 | | X=10*18 | | 9(x)=10d | | 6x-20+4x+30+2x=360 | | (6x-20)+(4x-30)+(2x)=360 | | (6x-20)+(4x-20)+(2x)=360 | | 2x(3x+5)+3(3x+5)=ax^2+bc+c | | 2-2+x=6x | | X-(0.2*200000)-0.32*(X-200000)=300000 | | X-0.32X=404000 | | 7x^2+10=-39 | | 4x+18=7(1+3) | | C=2*3.14*28 | | C=3.14*63 | | C=2*3.14*6 | | 8x+15-3x+25=10 | | sex(4x)-8=0 | | U^2-19u=-160 | | 16(x-1)=12x+365 | | X-7x+5x=3-4-9x | | 9+b^2=169 | | 2/15b-3/5b=35 | | 3y+-12=-y+-12 |

Equations solver categories