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(X*X)+7X=3X+12
We move all terms to the left:
(X*X)+7X-(3X+12)=0
We add all the numbers together, and all the variables
(+X*X)+7X-(3X+12)=0
We add all the numbers together, and all the variables
7X+(+X*X)-(3X+12)=0
We get rid of parentheses
7X+X*X-3X-12=0
We add all the numbers together, and all the variables
4X+X*X-12=0
Wy multiply elements
X^2+4X-12=0
a = 1; b = 4; c = -12;
Δ = b2-4ac
Δ = 42-4·1·(-12)
Δ = 64
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{64}=8$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-8}{2*1}=\frac{-12}{2} =-6 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+8}{2*1}=\frac{4}{2} =2 $
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