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90=5x*2x
We move all terms to the left:
90-(5x*2x)=0
We add all the numbers together, and all the variables
-(+5x*2x)+90=0
We get rid of parentheses
-5x*2x+90=0
Wy multiply elements
-10x^2+90=0
a = -10; b = 0; c = +90;
Δ = b2-4ac
Δ = 02-4·(-10)·90
Δ = 3600
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{3600}=60$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*-10}=\frac{-60}{-20} =+3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*-10}=\frac{60}{-20} =-3 $
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