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Simplifying 2(sinx + -1)(2cos2x + -1) = 0 Reorder the terms: 2(-1 + insx)(2cos2x + -1) = 0 Reorder the terms: 2(-1 + insx)(-1 + 2cos2x) = 0 Multiply (-1 + insx) * (-1 + 2cos2x) 2(-1(-1 + 2cos2x) + insx(-1 + 2cos2x)) = 0 2((-1 * -1 + 2cos2x * -1) + insx(-1 + 2cos2x)) = 0 2((1 + -2cos2x) + insx(-1 + 2cos2x)) = 0 2(1 + -2cos2x + (-1 * insx + 2cos2x * insx)) = 0 Reorder the terms: 2(1 + -2cos2x + (2cinos3x2 + -1insx)) = 0 2(1 + -2cos2x + (2cinos3x2 + -1insx)) = 0 Reorder the terms: 2(1 + 2cinos3x2 + -2cos2x + -1insx) = 0 2(1 + 2cinos3x2 + -2cos2x + -1insx) = 0 (1 * 2 + 2cinos3x2 * 2 + -2cos2x * 2 + -1insx * 2) = 0 (2 + 4cinos3x2 + -4cos2x + -2insx) = 0 Solving 2 + 4cinos3x2 + -4cos2x + -2insx = 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 + 4cinos3x2 + -4cos2x + -2 + -2insx = 0 + -2 Reorder the terms: 2 + -2 + 4cinos3x2 + -4cos2x + -2insx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4cinos3x2 + -4cos2x + -2insx = 0 + -2 4cinos3x2 + -4cos2x + -2insx = 0 + -2 Combine like terms: 0 + -2 = -2 4cinos3x2 + -4cos2x + -2insx = -2 Add '2insx' to each side of the equation. 4cinos3x2 + -4cos2x + -2insx + 2insx = -2 + 2insx Combine like terms: -2insx + 2insx = 0 4cinos3x2 + -4cos2x + 0 = -2 + 2insx 4cinos3x2 + -4cos2x = -2 + 2insx Reorder the terms: 2 + 4cinos3x2 + -4cos2x + -2insx = -2 + 2insx + 2 + -2insx Reorder the terms: 2 + 4cinos3x2 + -4cos2x + -2insx = -2 + 2 + 2insx + -2insx Combine like terms: -2 + 2 = 0 2 + 4cinos3x2 + -4cos2x + -2insx = 0 + 2insx + -2insx 2 + 4cinos3x2 + -4cos2x + -2insx = 2insx + -2insx Combine like terms: 2insx + -2insx = 0 2 + 4cinos3x2 + -4cos2x + -2insx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + 2cinos3x2 + -2cos2x + -1insx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + 2cinos3x2 + -2cos2x + -1insx)' equal to zero and attempt to solve: Simplifying 1 + 2cinos3x2 + -2cos2x + -1insx = 0 Solving 1 + 2cinos3x2 + -2cos2x + -1insx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2cinos3x2 + -2cos2x + -1 + -1insx = 0 + -1 Reorder the terms: 1 + -1 + 2cinos3x2 + -2cos2x + -1insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2cinos3x2 + -2cos2x + -1insx = 0 + -1 2cinos3x2 + -2cos2x + -1insx = 0 + -1 Combine like terms: 0 + -1 = -1 2cinos3x2 + -2cos2x + -1insx = -1 Add 'insx' to each side of the equation. 2cinos3x2 + -2cos2x + -1insx + insx = -1 + insx Combine like terms: -1insx + insx = 0 2cinos3x2 + -2cos2x + 0 = -1 + insx 2cinos3x2 + -2cos2x = -1 + insx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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