5(x^2)=cos(x)

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Solution for 5(x^2)=cos(x) equation: 


Simplifying
5(x2) = cos(x)

Multiply cos * x
5x2 = cosx

Solving
5x2 = cosx

Solving for variable 'x'.

Reorder the terms:
-1cosx + 5x2 = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-1cosx + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1cos + 5x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-1cos + 5x)' equal to zero and attempt to solve:

Simplifying
-1cos + 5x = 0

Solving
-1cos + 5x = 0

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

Add 'cos' to each side of the equation.
-1cos + cos + 5x = 0 + cos

Combine like terms: -1cos + cos = 0
0 + 5x = 0 + cos
5x = 0 + cos
Remove the zero:
5x = cos

Divide each side by '5'.
x = 0.2cos

Simplifying
x = 0.2cos
Solution
x = {0, 0.2cos}

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