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(7x)*4=(7*2)(7*3)/7*3x
We move all terms to the left:
(7x)*4-((7*2)(7*3)/7*3x)=0
Domain of the equation: 7*3x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
7x*4-(1421/7*3x)=0
Wy multiply elements
28x-(1421/7*3x)=0
We get rid of parentheses
28x-1421/7*3x=0
We multiply all the terms by the denominator
28x*7*3x-1421=0
Wy multiply elements
588x^2*3-1421=0
Wy multiply elements
1764x^2-1421=0
a = 1764; b = 0; c = -1421;
Δ = b2-4ac
Δ = 02-4·1764·(-1421)
Δ = 10026576
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{10026576}=\sqrt{345744*29}=\sqrt{345744}*\sqrt{29}=588\sqrt{29}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-588\sqrt{29}}{2*1764}=\frac{0-588\sqrt{29}}{3528} =-\frac{588\sqrt{29}}{3528} =-\frac{\sqrt{29}}{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+588\sqrt{29}}{2*1764}=\frac{0+588\sqrt{29}}{3528} =\frac{588\sqrt{29}}{3528} =\frac{\sqrt{29}}{6} $
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