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1.6x(15x+25)=-6x-5
We move all terms to the left:
1.6x(15x+25)-(-6x-5)=0
We multiply parentheses
15x^2+25x-(-6x-5)=0
We get rid of parentheses
15x^2+25x+6x+5=0
We add all the numbers together, and all the variables
15x^2+31x+5=0
a = 15; b = 31; c = +5;
Δ = b2-4ac
Δ = 312-4·15·5
Δ = 661
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{-(31)-\sqrt{661}}{2*15}=\frac{-31-\sqrt{661}}{30} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(31)+\sqrt{661}}{2*15}=\frac{-31+\sqrt{661}}{30} $
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