x^2/3-1=1.0075x-1.4

Solution for x^2/3-1=1.0075x-1.4 equation:

x^2/3-1=1.0075x-1.4

We move all terms to the left:

x^2/3-1-(1.0075x-1.4)=0

We get rid of parentheses

x^2/3-1.0075x+1.4-1=0

We multiply all the terms by the denominator


x^2-(1.0075x)*3+(1.4)*3-1*3=0

We add all the numbers together, and all the variables

x^2-(+1.0075x)*3+(1.4)*3-1*3=0

We add all the numbers together, and all the variables

x^2-(+1.0075x)*3+1.2=0

We multiply parentheses

x^2-3x+1.2=0

a = 1; b = -3; c = +1.2;
Δ = b2-4ac
Δ = -32-4·1·1.2
Δ = 4.2
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{-(-3)-\sqrt{4.2}}{2*1}=\frac{3-\sqrt{4.2}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{4.2}}{2*1}=\frac{3+\sqrt{4.2}}{2}
$