4(m2.5)=7.5

Solution for 4(m2.5)=7.5 equation:

4(m2.5)=7.5

We move all terms to the left:

4(m2.5)-(7.5)=0

We add all the numbers together, and all the variables

4(+m2.5)-(7.5)=0

We add all the numbers together, and all the variables

4(+m2.5)-7.5=0

We multiply parentheses

4m^2-7.5=0

a = 4; b = 0; c = -7.5;
Δ = b2-4ac
Δ = 02-4·4·(-7.5)
Δ = 120
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{120}=\sqrt{4*30}=\sqrt{4}*\sqrt{30}=2\sqrt{30}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{30}}{2*4}=\frac{0-2\sqrt{30}}{8}
=-\frac{2\sqrt{30}}{8}
=-\frac{\sqrt{30}}{4}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{30}}{2*4}=\frac{0+2\sqrt{30}}{8}
=\frac{2\sqrt{30}}{8}
=\frac{\sqrt{30}}{4}
$