100x^2-7=42

Solution for 100x^2-7=42 equation:

100x^2-7=42

We move all terms to the left:

100x^2-7-(42)=0

We add all the numbers together, and all the variables

100x^2-49=0

a = 100; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·100·(-49)
Δ = 19600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{19600}=140$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-140}{2*100}=\frac{-140}{200}
=-7/10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+140}{2*100}=\frac{140}{200}
=7/10
$