33x-8/4x+5=6.62

Simple and best practice solution for 33x-8/4x+5=6.62 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 33x-8/4x+5=6.62 equation: 



33x-8/4x+5=6.62

We move all terms to the left:

33x-8/4x+5-(6.62)=0



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R



We add all the numbers together, and all the variables

33x-8/4x-1.62=0

We multiply all the terms by the denominator


33x*4x-(1.62)*4x-8=0

We multiply parentheses

33x*4x-6.48x-8=0

Wy multiply elements

132x^2-6.48x-8=0

a = 132; b = -6.48; c = -8;
Δ = b2-4ac
Δ = -6.482-4·132·(-8)
Δ = 4265.9904
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6.48)-\sqrt{4265.9904}}{2*132}=\frac{6.48-\sqrt{4265.9904}}{264}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6.48)+\sqrt{4265.9904}}{2*132}=\frac{6.48+\sqrt{4265.9904}}{264}
$

See similar equations:

| 10−3s=–2s | | -(3-6x)=(-6x+3) | | 5x−40=55 | | -6c+4c+2=-10 | | -4(-2u+8)-u=3(u-9)-7 | | 2m+5m=-21 | | -12=5v+2v+2 | | 5x18=33 | | 8y+2=2y+4(y+3) | | 5x+2x+8=x-10 | | -1=-3c+2c | | 11=3z+5= | | -3(6x-8)=-156 | | 2(3x+7)=9x+8 | | −11c+7=−37−7c | | -4(1+2x)=-44 | | -6(-7x-8)=6 | | 3(8x−5)=3(9+x) | | 7(-7x-1)=483 | | p–1+ 0.4=–1.6 | | X=24x⁴-11x³-3x²+2x-2 | | 6(3-x)=-18 | | 8(2g+3g+2)=4g+124 | | 2d2+20=20 | | 8-2x+x=8 | | 7/2a-13=29 | | 6+x-3x=2 | | 3x-15+x18=+x | | -2(-4y+-4)=48 | | x+7=4x−11 | | 5n+8+4=-13 | | I(x)=x2-1 |

Equations solver categories