Loading [MathJax]/jax/output/HTML-CSS/jax.js

2x+3=30+1/2x

Simple and best practice solution for 2x+3=30+1/2x 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 2x+3=30+1/2x equation:



2x+3=30+1/2x
We move all terms to the left:
2x+3-(30+1/2x)=0
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
2x-(1/2x+30)+3=0
We get rid of parentheses
2x-1/2x-30+3=0
We multiply all the terms by the denominator
2x*2x-30*2x+3*2x-1=0
Wy multiply elements
4x^2-60x+6x-1=0
We add all the numbers together, and all the variables
4x^2-54x-1=0
a = 4; b = -54; c = -1;
Δ = b2-4ac
Δ = -542-4·4·(-1)
Δ = 2932
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{2932}=\sqrt{4*733}=\sqrt{4}*\sqrt{733}=2\sqrt{733}
x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-2\sqrt{733}}{2*4}=\frac{54-2\sqrt{733}}{8}
x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+2\sqrt{733}}{2*4}=\frac{54+2\sqrt{733}}{8}

See similar equations:

| -7x-60=3x | | 3(2=x+4)-6= | | 4v-46=6(v-6) | | 2+2x=2(1–3x)+x | | 4x+35=127 | | 3. 2+2x=2(1–3x)+x | | x+-4=17 | | 12q+17=5q+17 | | 11x-23=-2x+16 | | a+6=3a-8a+6=3a−8 | | -(3x+5)+1=-5x+2x-4 | | 2x+3=30+1/2 | | 12q+17=5q+16 | | (7x–10)+(3x+22)=180 | | x3−18=46 | | 10+14.25k=28+12.25k | | 3(8-6n)=31 | | 10x+131=180 | | y-26=89 | | 12x+42=12+42 | | 2x+3=30+1/ | | 9x²+6=0 | | 3x-3=56x=8 | | q-16=32 | | -4x=-6x+18 | | 3/150d=60 | | 4x+10+2x=50 | | (2x−3)+(6x+1)=(2x−3)+(6x+1)= | | -4=-6x+18 | | 2w−5=w+10 | | 15x+150=160 | | 5a+30=2a |

Equations solver categories