(5t-3)(t+12)=0

Simple and best practice solution for (5t-3)(t+12)=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 (5t-3)(t+12)=0 equation:



(5t-3)(t+12)=0
We multiply parentheses ..
(+5t^2+60t-3t-36)=0
We get rid of parentheses
5t^2+60t-3t-36=0
We add all the numbers together, and all the variables
5t^2+57t-36=0
a = 5; b = 57; c = -36;
Δ = b2-4ac
Δ = 572-4·5·(-36)
Δ = 3969
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3969}=63$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(57)-63}{2*5}=\frac{-120}{10} =-12 $
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(57)+63}{2*5}=\frac{6}{10} =3/5 $

See similar equations:

| (x+5)^2=10x | | 4.5x+1.5x+x=210 | | j+15=22 | | 5x-45+12=8x+122 | | −5g+2.3=−18.8g | | -11x-9=42 | | 7=6x+5– | | -5a=|30| | | 6=9k​ | | 4(x+0)=2x | | 4(3x-6)+4=16 | | 9+12a-76=3a+7 | | 9+12a-3a+7=76 | | /8=x+1/16= | | -18+-3x+2x2=0 | | 4a+2=-1 | | 4(7x-22)=10 | | 4a+2=2a-1 | | 5x+8=2x+0.5 | | 12n-6=4+10 | | 3^x-2=1/243 | | 3x+4/8=2 | | 5x+8=1/2(4x+1) | | -8-7+2x=23 | | 7x+29=4x-2 | | 3(4x+3)=-7x-3 | | -1=5=2x | | x÷2=25÷12 | | (X-10)+x=425 | | 1=4=n | | 21+3x=48-10x | | -6=-5-x |

Equations solver categories