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(5x-2)(6-x)=0
We add all the numbers together, and all the variables
(5x-2)(-1x+6)=0
We multiply parentheses ..
(-5x^2+30x+2x-12)=0
We get rid of parentheses
-5x^2+30x+2x-12=0
We add all the numbers together, and all the variables
-5x^2+32x-12=0
a = -5; b = 32; c = -12;
Δ = b2-4ac
Δ = 322-4·(-5)·(-12)
Δ = 784
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{784}=28$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-28}{2*-5}=\frac{-60}{-10} =+6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+28}{2*-5}=\frac{-4}{-10} =2/5 $
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