1/2x+7=x=13

Simple and best practice solution for 1/2x+7=x=13 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 1/2x+7=x=13 equation:



1/2x+7=x=13
We move all terms to the left:
1/2x+7-(x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
We add all the numbers together, and all the variables
-1x+1/2x+7=0
We multiply all the terms by the denominator
-1x*2x+7*2x+1=0
Wy multiply elements
-2x^2+14x+1=0
a = -2; b = 14; c = +1;
Δ = b2-4ac
Δ = 142-4·(-2)·1
Δ = 204
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:
$\sqrt{\Delta}=\sqrt{204}=\sqrt{4*51}=\sqrt{4}*\sqrt{51}=2\sqrt{51}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-2\sqrt{51}}{2*-2}=\frac{-14-2\sqrt{51}}{-4} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+2\sqrt{51}}{2*-2}=\frac{-14+2\sqrt{51}}{-4} $

See similar equations:

| 109=4x-5(-6x-4) | | 35x+15=4 | | Y+6=6x | | 8(c+7)=96 | | 7y+12=3y+16 | | 70=2b | | 2x-9(-x/4)=36 | | 16=y/3+ 12 | | c=30+70 | | (8x+20)=64 | | -42=r-52 | | 7(2x-5)=2(7x-17.5) | | c=40 | | 9(p−87)=54 | | 5*x-1=14 | | 2k+3×7=2 | | 7a+54=7a=180 | | 1x-6=16 | | -5(x+6)=-60 | | 13=9h-23h= | | 105=b+27 | | c=30+40 | | -1+9x=80 | | 13=t+2.1 | | 11/2-3y=2/3(-3y+4) | | 13=9h-23 | | -11m=176 | | w-2.96=8.78 | | 2x+3÷7=2 | | 4^2x^-6=256 | | 7a=7a+54 | | 34x=-12 |

Equations solver categories