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(4x+7)(6-x)=0
We add all the numbers together, and all the variables
(4x+7)(-1x+6)=0
We multiply parentheses ..
(-4x^2+24x-7x+42)=0
We get rid of parentheses
-4x^2+24x-7x+42=0
We add all the numbers together, and all the variables
-4x^2+17x+42=0
a = -4; b = 17; c = +42;
Δ = b2-4ac
Δ = 172-4·(-4)·42
Δ = 961
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{961}=31$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-31}{2*-4}=\frac{-48}{-8} =+6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+31}{2*-4}=\frac{14}{-8} =-1+3/4 $
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