((tan(30)*5*9.8)-(tan(30)*30*sen(30)))*x^2-(tan(30)*30*cos(30)+2*4*9.8+5*9.8-30*sen(30))*x+30*cos(30)=0

Simple and best practice solution for ((tan(30)*5*9.8)-(tan(30)*30*sen(30)))*x^2-(tan(30)*30*cos(30)+2*4*9.8+5*9.8-30*sen(30))*x+30*cos(30)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so d

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Solution for ((tan(30)*5*9.8)-(tan(30)*30*sen(30)))*x^2-(tan(30)*30*cos(30)+2*4*9.8+5*9.8-30*sen(30))*x+30*cos(30)=0 equation: 


Simplifying
((tan(30) * 5 * 9.8) + -1(tan(30) * 30sen(30))) * x2 + -1(tan(30) * 30cos(30) + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Reorder the terms for easier multiplication:
((30 * 5 * 9.8ant) + -1(tan(30) * 30sen(30))) * x2 + -1(tan(30) * 30cos(30) + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Multiply 30 * 5
((150 * 9.8ant) + -1(tan(30) * 30sen(30))) * x2 + -1(tan(30) * 30cos(30) + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Multiply 150 * 9.8
((1470ant) + -1(tan(30) * 30sen(30))) * x2 + -1(tan(30) * 30cos(30) + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Reorder the terms for easier multiplication:
((1470ant) + -1(30 * 30 * 30ant * ens)) * x2 + -1(tan(30) * 30cos(30) + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Multiply 30 * 30
((1470ant) + -1(900 * 30ant * ens)) * x2 + -1(tan(30) * 30cos(30) + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Multiply 900 * 30
((1470ant) + -1(27000ant * ens)) * x2 + -1(tan(30) * 30cos(30) + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Multiply ant * ens
((1470ant) + -1(27000aen2st)) * x2 + -1(tan(30) * 30cos(30) + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Remove parenthesis around (27000aen2st)
((1470ant) + -1 * 27000aen2st) * x2 + -1(tan(30) * 30cos(30) + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Multiply -1 * 27000
((1470ant) + -27000aen2st) * x2 + -1(tan(30) * 30cos(30) + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Reorder the terms:
(-27000aen2st + (1470ant)) * x2 + -1(tan(30) * 30cos(30) + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Reorder the terms for easier multiplication:
x2(-27000aen2st + (1470ant)) + -1(tan(30) * 30cos(30) + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0
(-27000aen2st * x2 + (1470ant) * x2) + -1(tan(30) * 30cos(30) + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0
(-27000aen2stx2 + 1470antx2) + -1(tan(30) * 30cos(30) + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Reorder the terms for easier multiplication:
-27000aen2stx2 + 1470antx2 + -1(30 * 30 * 30ant * cos + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Multiply 30 * 30
-27000aen2stx2 + 1470antx2 + -1(900 * 30ant * cos + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Multiply 900 * 30
-27000aen2stx2 + 1470antx2 + -1(27000ant * cos + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Multiply ant * cos
-27000aen2stx2 + 1470antx2 + -1(27000acnost + 2 * 4 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Multiply 2 * 4
-27000aen2stx2 + 1470antx2 + -1(27000acnost + 8 * 9.8 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Multiply 8 * 9.8
-27000aen2stx2 + 1470antx2 + -1(27000acnost + 78.4 + 5 * 9.8 + -30sen(30)) * x + 30cos(30) = 0

Multiply 5 * 9.8
-27000aen2stx2 + 1470antx2 + -1(27000acnost + 78.4 + 49 + -30sen(30)) * x + 30cos(30) = 0

Reorder the terms for easier multiplication:
-27000aen2stx2 + 1470antx2 + -1(27000acnost + 78.4 + 49 + -30 * 30ens) * x + 30cos(30) = 0

Multiply -30 * 30
-27000aen2stx2 + 1470antx2 + -1(27000acnost + 78.4 + 49 + -900ens) * x + 30cos(30) = 0

Reorder the terms:
-27000aen2stx2 + 1470antx2 + -1(78.4 + 49 + 27000acnost + -900ens) * x + 30cos(30) = 0

Combine like terms: 78.4 + 49 = 127.4
-27000aen2stx2 + 1470antx2 + -1(127.4 + 27000acnost + -900ens) * x + 30cos(30) = 0

Reorder the terms for easier multiplication:
-27000aen2stx2 + 1470antx2 + -1x(127.4 + 27000acnost + -900ens) + 30cos(30) = 0
-27000aen2stx2 + 1470antx2 + (127.4 * -1x + 27000acnost * -1x + -900ens * -1x) + 30cos(30) = 0

Reorder the terms:
-27000aen2stx2 + 1470antx2 + (-27000acnostx + 900ensx + -127.4x) + 30cos(30) = 0
-27000aen2stx2 + 1470antx2 + (-27000acnostx + 900ensx + -127.4x) + 30cos(30) = 0

Reorder the terms for easier multiplication:
-27000aen2stx2 + 1470antx2 + -27000acnostx + 900ensx + -127.4x + 30 * 30cos = 0

Multiply 30 * 30
-27000aen2stx2 + 1470antx2 + -27000acnostx + 900ensx + -127.4x + 900cos = 0

Reorder the terms:
-27000acnostx + -27000aen2stx2 + 1470antx2 + 900cos + 900ensx + -127.4x = 0

Solving
-27000acnostx + -27000aen2stx2 + 1470antx2 + 900cos + 900ensx + -127.4x = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-900cos' to each side of the equation.
-27000acnostx + -27000aen2stx2 + 1470antx2 + 900cos + 900ensx + -900cos + -127.4x = 0 + -900cos

Reorder the terms:
-27000acnostx + -27000aen2stx2 + 1470antx2 + 900cos + -900cos + 900ensx + -127.4x = 0 + -900cos

Combine like terms: 900cos + -900cos = 0
-27000acnostx + -27000aen2stx2 + 1470antx2 + 0 + 900ensx + -127.4x = 0 + -900cos
-27000acnostx + -27000aen2stx2 + 1470antx2 + 900ensx + -127.4x = 0 + -900cos
Remove the zero:
-27000acnostx + -27000aen2stx2 + 1470antx2 + 900ensx + -127.4x = -900cos

Add '-900ensx' to each side of the equation.
-27000acnostx + -27000aen2stx2 + 1470antx2 + 900ensx + -900ensx + -127.4x = -900cos + -900ensx

Combine like terms: 900ensx + -900ensx = 0
-27000acnostx + -27000aen2stx2 + 1470antx2 + 0 + -127.4x = -900cos + -900ensx
-27000acnostx + -27000aen2stx2 + 1470antx2 + -127.4x = -900cos + -900ensx

Add '127.4x' to each side of the equation.
-27000acnostx + -27000aen2stx2 + 1470antx2 + -127.4x + 127.4x = -900cos + -900ensx + 127.4x

Combine like terms: -127.4x + 127.4x = 0.0
-27000acnostx + -27000aen2stx2 + 1470antx2 + 0.0 = -900cos + -900ensx + 127.4x
-27000acnostx + -27000aen2stx2 + 1470antx2 = -900cos + -900ensx + 127.4x

Reorder the terms:
-27000acnostx + -27000aen2stx2 + 1470antx2 + 900cos + 900ensx + -127.4x = -900cos + 900cos + -900ensx + 900ensx + 127.4x + -127.4x

Combine like terms: -900cos + 900cos = 0
-27000acnostx + -27000aen2stx2 + 1470antx2 + 900cos + 900ensx + -127.4x = 0 + -900ensx + 900ensx + 127.4x + -127.4x
-27000acnostx + -27000aen2stx2 + 1470antx2 + 900cos + 900ensx + -127.4x = -900ensx + 900ensx + 127.4x + -127.4x

Combine like terms: -900ensx + 900ensx = 0
-27000acnostx + -27000aen2stx2 + 1470antx2 + 900cos + 900ensx + -127.4x = 0 + 127.4x + -127.4x
-27000acnostx + -27000aen2stx2 + 1470antx2 + 900cos + 900ensx + -127.4x = 127.4x + -127.4x

Combine like terms: 127.4x + -127.4x = 0.0
-27000acnostx + -27000aen2stx2 + 1470antx2 + 900cos + 900ensx + -127.4x = 0.0

The solution to this equation could not be determined.

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