(3x-5)2x=84

Simple and best practice solution for (3x-5)2x=84 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 (3x-5)2x=84 equation:



(3x-5)2x=84
We move all terms to the left:
(3x-5)2x-(84)=0
We multiply parentheses
6x^2-10x-84=0
a = 6; b = -10; c = -84;
Δ = b2-4ac
Δ = -102-4·6·(-84)
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-46}{2*6}=\frac{-36}{12} =-3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+46}{2*6}=\frac{56}{12} =4+2/3 $

See similar equations:

| (3x-5)2x=74 | | 1=a+9/26 | | 2x+80+6x=180 | | 2x+80+6x=90 | | 10+10=5d | | 4x(x+20x)=0 | | -7=1+6d | | 6v+18=56 | | 42w=52 | | f+165=954 | | 6(6v+)-5=1+6v | | 7(4x+5)-10=193 | | 13x=-299 | | 16+5n=41 | | 8+1/4x=19 | | -20.8=0.8a | | 15/9=n/3 | | 36=3(4x-12) | | 2(-6-3x)=90 | | 3(x^2-3)=66 | | 2(2y+12)=60 | | x^2-2x+I=0 | | x*0.8*5=1019-(3+5*4) | | x*0.8*5-(3+5*4)=1019 | | 2x=4.5(x+10) | | 10^(-3/2)=2x-1 | | (2x-7)^2-3=0 | | 5x+10=2x-60 | | (x*x*x)+x=118 | | 4^k=2/32 | | 8x=3+8 | | 3(4x=7)=-40=1 |

Equations solver categories