x*(2/3)=100

Simple and best practice solution for x*(2/3)=100 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*(2/3)=100 equation:



x(2/3)=100
We move all terms to the left:
x(2/3)-(100)=0
We add all the numbers together, and all the variables
x(+2/3)-100=0
We multiply parentheses
2x^2-100=0
a = 2; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·2·(-100)
Δ = 800
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:
$\sqrt{\Delta}=\sqrt{800}=\sqrt{400*2}=\sqrt{400}*\sqrt{2}=20\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{2}}{2*2}=\frac{0-20\sqrt{2}}{4} =-\frac{20\sqrt{2}}{4} =-5\sqrt{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{2}}{2*2}=\frac{0+20\sqrt{2}}{4} =\frac{20\sqrt{2}}{4} =5\sqrt{2} $

See similar equations:

| 3(2-5x)=4(1-4x)+9 | | 3x=4(x-5) | | 3(x−2)=30 | | |x-9|=16 | | 4(3x2)=14 | | 2x+1÷3x+4=3/6 | | 2/5x=(x-180)-(3/10(x-180)) | | 0=x^2-4x+20 | | 0.3+0.7x=0.85x | | 4x+9=117,x | | 15+6x=9x(5) | | 4x+9=117,× | | (2x+5)3=11 | | 3/4x+1/12=-1/4x-1/4 | | 3(3s+10)=138 | | 5(2u-3)+(4-u)3-2(u+7)=(2u-4)+(6-u) | | 2x-1=x+7÷3 | | 1.25x=x-1 | | 2(3x+1=5x-7 | | 2(a-1)=40 | | 11-2x=7-x | | 0.6x+0.03(7000-x)=252 | | 22+x=29 | | 5+8m-4=8m+19-3m | | 9x+11=7x+3 | | 12x-39=45 | | 3f=-1 | | 4*9^d-13*6^d+9*4^d=0 | | (2z-7)-3z+8)=4z-9 | | 3y+3y+3y=324 | | 6x-21=2x+9 | | 3x-2=4x=5 |

Equations solver categories