t^2-t=72

Simple and best practice solution for t^2-t=72 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-t=72 equation:


Simplifying
t2 + -1t = 72

Reorder the terms:
-1t + t2 = 72

Solving
-1t + t2 = 72

Solving for variable 't'.

Reorder the terms:
-72 + -1t + t2 = 72 + -72

Combine like terms: 72 + -72 = 0
-72 + -1t + t2 = 0

Factor a trinomial.
(-8 + -1t)(9 + -1t) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(9 + -1t)' equal to zero and attempt to solve: Simplifying 9 + -1t = 0 Solving 9 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1t = 0 + -9 -1t = 0 + -9 Combine like terms: 0 + -9 = -9 -1t = -9 Divide each side by '-1'. t = 9 Simplifying t = 9

Solution

t = {-8, 9}

See similar equations:

| z/20=-1 | | 2x+7y-32=0 | | 0.5(8n-2)=-(-8+9n)-5n | | 2.8+-5= | | -5x=90 | | -6x+16=-48 | | 6(x-3)-9(x-1)=5-(x+3) | | v/3=-6 | | -3(1+14x)+13x=-3(1-12x) | | 5(y-1)=2Y+4 | | 3x+2(x+400)=2900 | | 2-1/4=7/8 | | -3+x=8 | | a^3-7a^2+12a=0 | | 3(x+2)=7x-4 | | -2x+2(x-10)=2(10+5y) | | 9+a=-2 | | ab+b+a+1=0 | | 5-4C=2C+2 | | 6(x+3)=8x | | d/8=3 | | 3(x-7)=15 | | 5x-34=3x-6 | | 9z+24=3z | | -(x-2)-2=2(x-5)+4x | | 32-6x=3x+15 | | 100-5p=-20+3p | | -16x^2+32x-12=0 | | 6x^2-12x-4x+8=0 | | s+5=6s | | 2x-3=7-2(2x-13) | | x^2-2x+1=x-3 |

Equations solver categories