8.7=3.5m-2.5m(5.4-6m)

Solution for 8.7=3.5m-2.5m(5.4-6m) equation:

8.7=3.5m-2.5m(5.4-6m)

We move all terms to the left:

8.7-(3.5m-2.5m(5.4-6m))=0

We add all the numbers together, and all the variables

-(3.5m-2.5m(-6m+5.4))+8.7=0


We calculate terms in parentheses: -(3.5m-2.5m(-6m+5.4)), so:

3.5m-2.5m(-6m+5.4)

We multiply parentheses

12m^2+3.5m-10.8m

We add all the numbers together, and all the variables

12m^2-7.3m

Back to the equation:

-(12m^2-7.3m)


We get rid of parentheses

-12m^2+7.3m+8.7=0

a = -12; b = 7.3; c = +8.7;
Δ = b2-4ac
Δ = 7.32-4·(-12)·8.7
Δ = 470.89
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7.3)-\sqrt{470.89}}{2*-12}=\frac{-7.3-\sqrt{470.89}}{-24}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7.3)+\sqrt{470.89}}{2*-12}=\frac{-7.3+\sqrt{470.89}}{-24}
$