(3t-2)(t+1)=3

Simple and best practice solution for (3t-2)(t+1)=3 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 (3t-2)(t+1)=3 equation:



(3t-2)(t+1)=3
We move all terms to the left:
(3t-2)(t+1)-(3)=0
We multiply parentheses ..
(+3t^2+3t-2t-2)-3=0
We get rid of parentheses
3t^2+3t-2t-2-3=0
We add all the numbers together, and all the variables
3t^2+t-5=0
a = 3; b = 1; c = -5;
Δ = b2-4ac
Δ = 12-4·3·(-5)
Δ = 61
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{61}}{2*3}=\frac{-1-\sqrt{61}}{6} $
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{61}}{2*3}=\frac{-1+\sqrt{61}}{6} $

See similar equations:

| 15x2=2(4-7x) | | x-4/5x=8 | | P(x)=5x-1 | | (15-6)+4-1*2=n | | z^2+10z+34=0 | | 2x2+3x-27=0 | | w-8=70 | | f(-1)=-9-6 | | y+4y+7=0 | | 5t-11=7t+4 | | 90+29x+4x^2=0 | | 2x^2=7^2 | | 4/25-w^2-1+3/5w-1=2/5w-1 | | 3–5x+6=0 | | 165+27x+x^2=0 | | 0.25=x/12x | | 102=4(7×3)+2(7x) | | 2x+8=4x–2 | | 5/2x-1/x=3/4 | | 2y/3+y/15=22/5 | | -30x^2-15x+7=0 | | r^2-10r=17 | | 5/2y-1/4=3/4 | | 7f-f^2=60 | | 12x+5Y=228.55 | | 5(t-3=25 | | (3x^2+2x)/9=5 | | m²+7m-51/4=0 | | m²+7m-54/4=0 | | X^2=15x+2 | | 7x=1÷343 | | 4/9-b^2/5=0 |

Equations solver categories