-7x^2*4=-59

Solution for -7x^2*4=-59 equation:

-7x^2*4=-59

We move all terms to the left:

-7x^2*4-(-59)=0

We add all the numbers together, and all the variables

-7x^2*4+59=0

Wy multiply elements

-28x^2+59=0

a = -28; b = 0; c = +59;
Δ = b2-4ac
Δ = 02-4·(-28)·59
Δ = 6608
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6608}=\sqrt{16*413}=\sqrt{16}*\sqrt{413}=4\sqrt{413}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{413}}{2*-28}=\frac{0-4\sqrt{413}}{-56}
=-\frac{4\sqrt{413}}{-56}
=-\frac{\sqrt{413}}{-14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{413}}{2*-28}=\frac{0+4\sqrt{413}}{-56}
=\frac{4\sqrt{413}}{-56}
=\frac{\sqrt{413}}{-14}
$