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Simplifying 4sin2(2x) + -8cos2(2x) + 2 = 0 Remove parenthesis around (2x) 4in2s * 2x + -8cos2(2x) + 2 = 0 Reorder the terms for easier multiplication: 4 * 2in2s * x + -8cos2(2x) + 2 = 0 Multiply 4 * 2 8in2s * x + -8cos2(2x) + 2 = 0 Multiply in2s * x 8in2sx + -8cos2(2x) + 2 = 0 Remove parenthesis around (2x) 8in2sx + -8cos2 * 2x + 2 = 0 Reorder the terms for easier multiplication: 8in2sx + -8 * 2cos2 * x + 2 = 0 Multiply -8 * 2 8in2sx + -16cos2 * x + 2 = 0 Multiply cos2 * x 8in2sx + -16cos2x + 2 = 0 Reorder the terms: 2 + -16cos2x + 8in2sx = 0 Solving 2 + -16cos2x + 8in2sx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -16cos2x + -2 + 8in2sx = 0 + -2 Reorder the terms: 2 + -2 + -16cos2x + 8in2sx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -16cos2x + 8in2sx = 0 + -2 -16cos2x + 8in2sx = 0 + -2 Combine like terms: 0 + -2 = -2 -16cos2x + 8in2sx = -2 Add '-8in2sx' to each side of the equation. -16cos2x + 8in2sx + -8in2sx = -2 + -8in2sx Combine like terms: 8in2sx + -8in2sx = 0 -16cos2x + 0 = -2 + -8in2sx -16cos2x = -2 + -8in2sx Divide each side by '-16os2x'. c = 0.125o-1s-2x-1 + 0.5in2o-1s-1 Simplifying c = 0.125o-1s-2x-1 + 0.5in2o-1s-1 Reorder the terms: c = 0.5in2o-1s-1 + 0.125o-1s-2x-1
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