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7+5x*3x=21
We move all terms to the left:
7+5x*3x-(21)=0
We add all the numbers together, and all the variables
5x*3x-14=0
Wy multiply elements
15x^2-14=0
a = 15; b = 0; c = -14;
Δ = b2-4ac
Δ = 02-4·15·(-14)
Δ = 840
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{840}=\sqrt{4*210}=\sqrt{4}*\sqrt{210}=2\sqrt{210}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{210}}{2*15}=\frac{0-2\sqrt{210}}{30} =-\frac{2\sqrt{210}}{30} =-\frac{\sqrt{210}}{15} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{210}}{2*15}=\frac{0+2\sqrt{210}}{30} =\frac{2\sqrt{210}}{30} =\frac{\sqrt{210}}{15} $
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