64=144x^2+64+64x^2-128x+58x-58x^2

Solution for 64=144x^2+64+64x^2-128x+58x-58x^2 equation:

64=144x^2+64+64x^2-128x+58x-58x^2

We move all terms to the left:

64-(144x^2+64+64x^2-128x+58x-58x^2)=0

We get rid of parentheses

-144x^2-64x^2+58x^2+128x-58x-64+64=0

We add all the numbers together, and all the variables

-150x^2+70x=0

a = -150; b = 70; c = 0;
Δ = b2-4ac
Δ = 702-4·(-150)·0
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(70)-70}{2*-150}=\frac{-140}{-300}
=7/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70)+70}{2*-150}=\frac{0}{-300}
=0
$