7x2=7,7x2-6x+8=

Solution for 7x2=7,7x2-6x+8= equation:

7x^2=7.7x^2-6x+8=

We move all terms to the left:

7x^2-(7.7x^2-6x+8)=0

We get rid of parentheses

7x^2-7.7x^2+6x-8=0

We add all the numbers together, and all the variables

-0.7x^2+6x-8=0

a = -0.7; b = 6; c = -8;
Δ = b2-4ac
Δ = 62-4·(-0.7)·(-8)
Δ = 13.6
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)-\sqrt{13.6}}{2*-0.7}=\frac{-6-\sqrt{13.6}}{-1.4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+\sqrt{13.6}}{2*-0.7}=\frac{-6+\sqrt{13.6}}{-1.4}
$