81x^2+135x^2=64+152

Solution for 81x^2+135x^2=64+152 equation:

81x^2+135x^2=64+152

We move all terms to the left:

81x^2+135x^2-(64+152)=0

We add all the numbers together, and all the variables

81x^2+135x^2-216=0

We add all the numbers together, and all the variables

216x^2-216=0

a = 216; b = 0; c = -216;
Δ = b2-4ac
Δ = 02-4·216·(-216)
Δ = 186624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{186624}=432$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-432}{2*216}=\frac{-432}{432}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+432}{2*216}=\frac{432}{432}
=1
$