4.5cos(0.18x+2.4)+5=-0.2x^2+2.3x

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Solution for 4.5cos(0.18x+2.4)+5=-0.2x^2+2.3x equation: 


Simplifying
4.5cos(0.18x + 2.4) + 5 = -0.2x2 + 2.3x

Reorder the terms:
4.5cos(2.4 + 0.18x) + 5 = -0.2x2 + 2.3x
(2.4 * 4.5cos + 0.18x * 4.5cos) + 5 = -0.2x2 + 2.3x
(10.8cos + 0.81cosx) + 5 = -0.2x2 + 2.3x

Reorder the terms:
5 + 10.8cos + 0.81cosx = -0.2x2 + 2.3x

Reorder the terms:
5 + 10.8cos + 0.81cosx = 2.3x + -0.2x2

Solving
5 + 10.8cos + 0.81cosx = 2.3x + -0.2x2

Solving for variable 'c'.

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

Add '-5' to each side of the equation.
5 + 10.8cos + -5 + 0.81cosx = 2.3x + -5 + -0.2x2

Reorder the terms:
5 + -5 + 10.8cos + 0.81cosx = 2.3x + -5 + -0.2x2

Combine like terms: 5 + -5 = 0
0 + 10.8cos + 0.81cosx = 2.3x + -5 + -0.2x2
10.8cos + 0.81cosx = 2.3x + -5 + -0.2x2

Reorder the terms:
10.8cos + 0.81cosx = -5 + 2.3x + -0.2x2

Reorder the terms:
5 + 10.8cos + 0.81cosx + -2.3x + 0.2x2 = -5 + 2.3x + -0.2x2 + 5 + -2.3x + 0.2x2

Reorder the terms:
5 + 10.8cos + 0.81cosx + -2.3x + 0.2x2 = -5 + 5 + 2.3x + -2.3x + -0.2x2 + 0.2x2

Combine like terms: -5 + 5 = 0
5 + 10.8cos + 0.81cosx + -2.3x + 0.2x2 = 0 + 2.3x + -2.3x + -0.2x2 + 0.2x2
5 + 10.8cos + 0.81cosx + -2.3x + 0.2x2 = 2.3x + -2.3x + -0.2x2 + 0.2x2

Combine like terms: 2.3x + -2.3x = 0.0
5 + 10.8cos + 0.81cosx + -2.3x + 0.2x2 = 0.0 + -0.2x2 + 0.2x2
5 + 10.8cos + 0.81cosx + -2.3x + 0.2x2 = -0.2x2 + 0.2x2

Combine like terms: -0.2x2 + 0.2x2 = 0.0
5 + 10.8cos + 0.81cosx + -2.3x + 0.2x2 = 0.0

The solution to this equation could not be determined.

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