(x-2)(4x-3)=84

Simple and best practice solution for (x-2)(4x-3)=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 (x-2)(4x-3)=84 equation:



(x-2)(4x-3)=84
We move all terms to the left:
(x-2)(4x-3)-(84)=0
We multiply parentheses ..
(+4x^2-3x-8x+6)-84=0
We get rid of parentheses
4x^2-3x-8x+6-84=0
We add all the numbers together, and all the variables
4x^2-11x-78=0
a = 4; b = -11; c = -78;
Δ = b2-4ac
Δ = -112-4·4·(-78)
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-37}{2*4}=\frac{-26}{8} =-3+1/4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+37}{2*4}=\frac{48}{8} =6 $

See similar equations:

| 4v+9=2v-7 | | 9g*4=90 | | 5/4=20/p | | 7x-22=-50 | | 154=j-18 | | 12/10=m/10 | | 11=h+6 | | 6+3g=g-8 | | 6.2+h=24.5 | | -17+2x-4x=39 | | 9x+26=5x+54 | | -4+-4g=-10-7 | | 29=17+g | | 5(p+4)+1=9+2p | | 4^x-9=26 | | 6+r/3=7 | | y=0.97(11)+1.29= | | -4=r/10-7 | | 60+(3x+2x)=180 | | t/5+2=-7 | | −3(1+5n)=−33 | | 18=5a+3-2a | | 3.50+2.00x=11.50 | | 4n-36=24 | | b+19=-43 | | 15,000=12*y | | f+13=22 | | (30,000,000)(30,000,000)(255)=a | | 2x(x-4)+2x=-20 | | 5x-7=13x-9=180 | | −5x+35=40 | | e-19=32 |

Equations solver categories