2*cosx*(2x+30°) + √3=0

x  ≈  1.59688927,  −1.60312387,  −4.67045686,  4.69039614,  7.872914,  −7.91513776,  −10.89002194

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Simplify 2*cosx*(2x+30°) + √3=0

    Simplify each term.  

       Apply the distributive property.

2  cos ( x )   ( 2 x )  + 2  cos ( x )  * 30 °  + √ 3 = 0 Multiply  2  by  2 4  cos ( x )  x  +  2  cos ( x )  *30 ° + √ 3 = 0 Multiply  30 °by  2  4 cos ( x )  x  +  60 cos ( x ) + √ 3 = 0Reorder factors in 4 cos ( x ) x + 60 cos ( x ) + √34xcos(x)+60cos(x)+√3=0Graph each side of the equation. The solution is the x-value of the point of intersection. x ≈ 1.59688927 , − 1.60312387 , − 4.67045686 , 4.69039614 , 7.872914 , − 7.91513776 , − 10.89002194

Step-by-step explanation:

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