x-5768995846434862763696527835503685836583668885x^2+3=12

Solution for x-5768995846434862763696527835503685836583668885x^2+3=12 equation:

x-5768995846434862763696527835503685836583668885x^2+3=12

We move all terms to the left:

x-5768995846434862763696527835503685836583668885x^2+3-(12)=0

We add all the numbers together, and all the variables

45x^2+x-9-5.7689958464349E=0

We add all the numbers together, and all the variables

45x^2+x-24.68175657782=0

a = 45; b = 1; c = -24.68175657782;
Δ = b2-4ac
Δ = 12-4·45·(-24.68175657782)
Δ = 4443.7161840076
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{-(1)-\sqrt{4443.7161840076}}{2*45}=\frac{-1-\sqrt{4443.7161840076}}{90}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{4443.7161840076}}{2*45}=\frac{-1+\sqrt{4443.7161840076}}{90}
$