7x^2=6.7x

Solution for 7x^2=6.7x equation:

7x^2=6.7x

We move all terms to the left:

7x^2-(6.7x)=0

We add all the numbers together, and all the variables

7x^2-(+6.7x)=0

We get rid of parentheses

7x^2-6.7x=0

a = 7; b = -6.7; c = 0;
Δ = b2-4ac
Δ = -6.72-4·7·0
Δ = 44.89
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{-(-6.7)-\sqrt{44.89}}{2*7}=\frac{6.7-\sqrt{44.89}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6.7)+\sqrt{44.89}}{2*7}=\frac{6.7+\sqrt{44.89}}{14}
$