t^2-5t=24

Simple and best practice solution for t^2-5t=24 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^2-5t=24 equation:


Simplifying
t2 + -5t = 24

Reorder the terms:
-5t + t2 = 24

Solving
-5t + t2 = 24

Solving for variable 't'.

Reorder the terms:
-24 + -5t + t2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + -5t + t2 = 0

Factor a trinomial.
(-3 + -1t)(8 + -1t) = 0

Subproblem 1

Set the factor '(-3 + -1t)' equal to zero and attempt to solve: Simplifying -3 + -1t = 0 Solving -3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1t = 0 + 3 -1t = 0 + 3 Combine like terms: 0 + 3 = 3 -1t = 3 Divide each side by '-1'. t = -3 Simplifying t = -3

Subproblem 2

Set the factor '(8 + -1t)' equal to zero and attempt to solve: Simplifying 8 + -1t = 0 Solving 8 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1t = 0 + -8 -1t = 0 + -8 Combine like terms: 0 + -8 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8

Solution

t = {-3, 8}

See similar equations:

| 2x-5=x-1-3 | | -5v+-8v=13 | | 2(8-3y)=4y-9 | | 5(-6x-1)=5(3-7x) | | 18n^2-8= | | 3-5=x+2-6 | | 60=k-3 | | 128x^3-250y^3= | | x+2-5=7-5 | | -37-8n=6n+7(1+6n) | | -5(a-3)-3=-6a+7(a+1) | | x^3=2y^2 | | 7.1x+1=6.1x | | (3a-5)(4a+7)= | | -18+m=7m+6(4m+2) | | -(7+7k)+8(-6k+8)=2 | | 0.5x+0.2=0.9x-2.2 | | 6(x+3)-9=2x+4(1+x) | | 2(x+5x)=48 | | 9(4-10p)+7(p+10)=23 | | 8(2*3w)= | | h/3-14=-11 | | 12*3= | | -26-4x=-6(1+5x)+6 | | 7x-3x+8=24 | | 2(x*3)= | | 12*=3 | | 13x+7y=202 | | 3.4x+2=2.4x | | 2(-8a+4)+3(-10-5a)=40 | | -6(9+4)= | | 5x+x=6(3-3x)+6(-3+3x) |

Equations solver categories