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-7x-4x(2x-9)=21
We move all terms to the left:
-7x-4x(2x-9)-(21)=0
We multiply parentheses
-8x^2-7x+36x-21=0
We add all the numbers together, and all the variables
-8x^2+29x-21=0
a = -8; b = 29; c = -21;
Δ = b2-4ac
Δ = 292-4·(-8)·(-21)
Δ = 169
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{169}=13$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(29)-13}{2*-8}=\frac{-42}{-16} =2+5/8 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29)+13}{2*-8}=\frac{-16}{-16} =1 $
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