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6.87x^2=135-45x^2
We move all terms to the left:
6.87x^2-(135-45x^2)=0
We get rid of parentheses
6.87x^2+45x^2-135=0
We add all the numbers together, and all the variables
51.87x^2-135=0
a = 51.87; b = 0; c = -135;
Δ = b2-4ac
Δ = 02-4·51.87·(-135)
Δ = 28009.8
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{28009.8}}{2*51.87}=\frac{0-\sqrt{28009.8}}{103.74} =-\frac{\sqrt{}}{103.74} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{28009.8}}{2*51.87}=\frac{0+\sqrt{28009.8}}{103.74} =\frac{\sqrt{}}{103.74} $
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