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5x^2-x-4=-9x
We move all terms to the left:
5x^2-x-4-(-9x)=0
We add all the numbers together, and all the variables
5x^2-1x-(-9x)-4=0
We get rid of parentheses
5x^2-1x+9x-4=0
We add all the numbers together, and all the variables
5x^2+8x-4=0
a = 5; b = 8; c = -4;
Δ = b2-4ac
Δ = 82-4·5·(-4)
Δ = 144
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{144}=12$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-12}{2*5}=\frac{-20}{10} =-2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+12}{2*5}=\frac{4}{10} =2/5 $
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