0=-4x^2+7x+132

Solution for 0=-4x^2+7x+132 equation:

0=-4x^2+7x+132

We move all terms to the left:

0-(-4x^2+7x+132)=0

We add all the numbers together, and all the variables

-(-4x^2+7x+132)=0

We get rid of parentheses

4x^2-7x-132=0

a = 4; b = -7; c = -132;
Δ = b2-4ac
Δ = -72-4·4·(-132)
Δ = 2161
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{-(-7)-\sqrt{2161}}{2*4}=\frac{7-\sqrt{2161}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{2161}}{2*4}=\frac{7+\sqrt{2161}}{8}
$