(4/9)x-3=7

Simple and best practice solution for (4/9)x-3=7 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 (4/9)x-3=7 equation:



(4/9)x-3=7
We move all terms to the left:
(4/9)x-3-(7)=0
Domain of the equation: 9)x!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
(+4/9)x-3-7=0
We add all the numbers together, and all the variables
(+4/9)x-10=0
We multiply parentheses
4x^2-10=0
a = 4; b = 0; c = -10;
Δ = b2-4ac
Δ = 02-4·4·(-10)
Δ = 160
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{160}=\sqrt{16*10}=\sqrt{16}*\sqrt{10}=4\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{10}}{2*4}=\frac{0-4\sqrt{10}}{8} =-\frac{4\sqrt{10}}{8} =-\frac{\sqrt{10}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{10}}{2*4}=\frac{0+4\sqrt{10}}{8} =\frac{4\sqrt{10}}{8} =\frac{\sqrt{10}}{2} $

See similar equations:

| -5+1/2=(5x+13) | | 8.71+x=8.1 | | 2.6x+1.6=14.6 | | 2x+7=109 | | 2x+7=218 | | 8x+70=2x+160 | | 5x-2x+5x-9=2x | | h^2=18 | | 13=-x+6 | | 3(x-5)+4=5x-11 | | 162.25=5​(0.08m+24.70+0.10​(24.70​)) | | 0.5x+17=11 | | h^2=72 | | 5x-7=211 | | 44+4+8x=128 | | 0.5x+39=0 | | 2x+7=125 | | 4/5x-7/4x=7/8x-17 | | 11u+-6=-20 | | 7x–3x=28 | | 11u+–6u=–20 | | 3(15x+20)=15x* | | -9/t=-11 | | 9/z=0 | | 13d=10 | | h^2=15 | | Y=500+25x | | h^2=17.8 | | 90^2=30w | | 5x-52+3x+4=63x-13x+64 | | (9w-5)+32=90 | | (s-4)+58+90=180 |

Equations solver categories