0.8=-1.2cos(2t)+0.8cos(t)

Solution for 0.8=-1.2cos(2t)+0.8cos(t) equation:

Simplifying
0.8 = -1.2cos(2t) + 0.8cos(t)

Remove parenthesis around (2t)
0.8 = -1.2cos * 2t + 0.8cos(t)

Reorder the terms for easier multiplication:
0.8 = -1.2 * 2cos * t + 0.8cos(t)

Multiply -1.2 * 2
0.8 = -2.4cos * t + 0.8cos(t)

Multiply cos * t
0.8 = -2.4cost + 0.8cos(t)

Multiply cos * t
0.8 = -2.4cost + 0.8cost

Combine like terms: -2.4cost + 0.8cost = -1.6cost
0.8 = -1.6cost

Solving
0.8 = -1.6cost

Solving for variable 'c'.

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

Add '1.6cost' to each side of the equation.
0.8 + 1.6cost = -1.6cost + 1.6cost

Combine like terms: -1.6cost + 1.6cost = 0.0
0.8 + 1.6cost = 0.0

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 1.6cost = 0.0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 1.6cost = 0.0 + -0.8
1.6cost = 0.0 + -0.8

Combine like terms: 0.0 + -0.8 = -0.8
1.6cost = -0.8

Divide each side by '1.6ost'.
c = -0.5o-1s-1t-1

Simplifying
c = -0.5o-1s-1t-1