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5x-4x(x=6)
We move all terms to the left:
5x-4x(x-(6))=0
We multiply parentheses
-4x^2+5x+24x=0
We add all the numbers together, and all the variables
-4x^2+29x=0
a = -4; b = 29; c = 0;
Δ = b2-4ac
Δ = 292-4·(-4)·0
Δ = 841
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{841}=29$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(29)-29}{2*-4}=\frac{-58}{-8} =7+1/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29)+29}{2*-4}=\frac{0}{-8} =0 $
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