t^2+7t=198

Simple and best practice solution for t^2+7t=198 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+7t=198 equation:


Simplifying
t2 + 7t = 198

Reorder the terms:
7t + t2 = 198

Solving
7t + t2 = 198

Solving for variable 't'.

Reorder the terms:
-198 + 7t + t2 = 198 + -198

Combine like terms: 198 + -198 = 0
-198 + 7t + t2 = 0

Factor a trinomial.
(-18 + -1t)(11 + -1t) = 0

Subproblem 1

Set the factor '(-18 + -1t)' equal to zero and attempt to solve: Simplifying -18 + -1t = 0 Solving -18 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1t = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1t = 0 + 18 -1t = 0 + 18 Combine like terms: 0 + 18 = 18 -1t = 18 Divide each side by '-1'. t = -18 Simplifying t = -18

Subproblem 2

Set the factor '(11 + -1t)' equal to zero and attempt to solve: Simplifying 11 + -1t = 0 Solving 11 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1t = 0 + -11 -1t = 0 + -11 Combine like terms: 0 + -11 = -11 -1t = -11 Divide each side by '-1'. t = 11 Simplifying t = 11

Solution

t = {-18, 11}

See similar equations:

| 7d-6-5d=8 | | 2a-3=5a-8 | | 7.20-6=x | | 15x-18x+20x=68-30x+13x | | 4(3x+2)+3x+22=180 | | 3x-42=2x+21 | | .6x-5=.1x+7 | | 6-x-(-5)=17 | | 28+4=88 | | 2(3a-4b)=9c | | Y=4x^2-14x-8 | | xy-x+2y=0 | | 3x+2(x+20)=60 | | 15x-60=30 | | 0=p+11/10 | | 4n-2=an+7 | | 15x-18x=68-30x+13x | | 6x^2-15x-4=0 | | 13+6r=2r-3 | | 9b-2a+3b-a= | | 2.5x-5+3x+8=67 | | 10x+8-24=8+80x | | 14x=.28 | | 20-3(2y+5)=-25 | | 7+6(5-4n)=-83 | | -6-1+14=14m-13-13m+4 | | 2.5x-5+3x+20=67 | | 4x-6-5x=3 | | 19-13p=17p-4 | | 3x+1y=29 | | 2(v-8)-10=-2(-1+4v) | | h=0.3+5.5t-4.9t^2 |

Equations solver categories