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2x(4x-11)=-15
We move all terms to the left:
2x(4x-11)-(-15)=0
We add all the numbers together, and all the variables
2x(4x-11)+15=0
We multiply parentheses
8x^2-22x+15=0
a = 8; b = -22; c = +15;
Δ = b2-4ac
Δ = -222-4·8·15
Δ = 4
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{4}=2$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-2}{2*8}=\frac{20}{16} =1+1/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+2}{2*8}=\frac{24}{16} =1+1/2 $
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