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Simplifying sin2(x) + 9cps2(x) = 5sin(2x) Multiply in2s * x in2sx + 9cps2(x) = 5sin(2x) Multiply cps2 * x in2sx + 9cps2x = 5sin(2x) Reorder the terms: 9cps2x + in2sx = 5sin(2x) Remove parenthesis around (2x) 9cps2x + in2sx = 5ins * 2x Reorder the terms for easier multiplication: 9cps2x + in2sx = 5 * 2ins * x Multiply 5 * 2 9cps2x + in2sx = 10ins * x Multiply ins * x 9cps2x + in2sx = 10insx Solving 9cps2x + in2sx = 10insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1in2sx' to each side of the equation. 9cps2x + in2sx + -1in2sx = 10insx + -1in2sx Combine like terms: in2sx + -1in2sx = 0 9cps2x + 0 = 10insx + -1in2sx 9cps2x = 10insx + -1in2sx Divide each side by '9ps2x'. c = 1.111111111inp-1s-1 + -0.1111111111in2p-1s-1 Simplifying c = 1.111111111inp-1s-1 + -0.1111111111in2p-1s-1
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