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(-x+6)(4x+1)=0
We add all the numbers together, and all the variables
(-1x+6)(4x+1)=0
We multiply parentheses ..
(-4x^2-1x+24x+6)=0
We get rid of parentheses
-4x^2-1x+24x+6=0
We add all the numbers together, and all the variables
-4x^2+23x+6=0
a = -4; b = 23; c = +6;
Δ = b2-4ac
Δ = 232-4·(-4)·6
Δ = 625
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{625}=25$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(23)-25}{2*-4}=\frac{-48}{-8} =+6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+25}{2*-4}=\frac{2}{-8} =-1/4 $
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