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(x+x)*x=210

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Solution for (x+x)*x=210 equation:



(x+x)*x=210
We move all terms to the left:
(x+x)*x-(210)=0
We add all the numbers together, and all the variables
(+2x)*x-210=0
We multiply parentheses
2x^2-210=0
a = 2; b = 0; c = -210;
Δ = b2-4ac
Δ = 02-4·2·(-210)
Δ = 1680
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{1680}=\sqrt{16*105}=\sqrt{16}*\sqrt{105}=4\sqrt{105}
x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{105}}{2*2}=\frac{0-4\sqrt{105}}{4} =-\frac{4\sqrt{105}}{4} =-\sqrt{105}
x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{105}}{2*2}=\frac{0+4\sqrt{105}}{4} =\frac{4\sqrt{105}}{4} =\sqrt{105}

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