7.6x2-4.9x2=54

Solution for 7.6x2-4.9x2=54 equation:

7.6x^2-4.9x^2=54

We move all terms to the left:

7.6x^2-4.9x^2-(54)=0

We add all the numbers together, and all the variables

2.7x^2-54=0

a = 2.7; b = 0; c = -54;
Δ = b2-4ac
Δ = 02-4·2.7·(-54)
Δ = 583.2
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{-(0)-\sqrt{583.2}}{2*2.7}=\frac{0-\sqrt{583.2}}{5.4}
=-\frac{\sqrt{}}{5.4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{583.2}}{2*2.7}=\frac{0+\sqrt{583.2}}{5.4}
=\frac{\sqrt{}}{5.4}
$