8x^2-21x=-59x

Solution for 8x^2-21x=-59x equation:

8x^2-21x=-59x

We move all terms to the left:

8x^2-21x-(-59x)=0

We get rid of parentheses

8x^2-21x+59x=0

We add all the numbers together, and all the variables

8x^2+38x=0

a = 8; b = 38; c = 0;
Δ = b2-4ac
Δ = 382-4·8·0
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(38)-38}{2*8}=\frac{-76}{16}
=-4+3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(38)+38}{2*8}=\frac{0}{16}
=0
$