3x(x+0.75)=5.88

Solution for 3x(x+0.75)=5.88 equation:

3x(x+0.75)=5.88

We move all terms to the left:

3x(x+0.75)-(5.88)=0

We add all the numbers together, and all the variables

3x(x+0.75)-5.88=0

We multiply parentheses

3x^2+2.25x-5.88=0

a = 3; b = 2.25; c = -5.88;
Δ = b2-4ac
Δ = 2.252-4·3·(-5.88)
Δ = 75.6225
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{-(2.25)-\sqrt{75.6225}}{2*3}=\frac{-2.25-\sqrt{75.6225}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.25)+\sqrt{75.6225}}{2*3}=\frac{-2.25+\sqrt{75.6225}}{6}
$