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-7.5x+4.8x-0.3=2.5x^2+10.02-10x^2
We move all terms to the left:
-7.5x+4.8x-0.3-(2.5x^2+10.02-10x^2)=0
We add all the numbers together, and all the variables
-(2.5x^2+10.02-10x^2)-2.7x-0.3=0
We get rid of parentheses
-2.5x^2+10x^2-2.7x-10.02-0.3=0
We add all the numbers together, and all the variables
7.5x^2-2.7x-10.32=0
a = 7.5; b = -2.7; c = -10.32;
Δ = b2-4ac
Δ = -2.72-4·7.5·(-10.32)
Δ = 316.89
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{-(-2.7)-\sqrt{316.89}}{2*7.5}=\frac{2.7-\sqrt{316.89}}{15} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.7)+\sqrt{316.89}}{2*7.5}=\frac{2.7+\sqrt{316.89}}{15} $
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