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4(x+9)(x+9)+29(x+9)-63=0
We multiply parentheses
4(x+9)(x+9)+29x+261-63=0
We multiply parentheses ..
4(+x^2+9x+9x+81)+29x+261-63=0
We add all the numbers together, and all the variables
4(+x^2+9x+9x+81)+29x+198=0
We multiply parentheses
4x^2+36x+36x+29x+324+198=0
We add all the numbers together, and all the variables
4x^2+101x+522=0
a = 4; b = 101; c = +522;
Δ = b2-4ac
Δ = 1012-4·4·522
Δ = 1849
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{1849}=43$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(101)-43}{2*4}=\frac{-144}{8} =-18 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(101)+43}{2*4}=\frac{-58}{8} =-7+1/4 $
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