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Simplifying (4cos2x + -1x)(sinx + 1) = 0 Reorder the terms: (4cos2x + -1x)(1 + insx) = 0 Multiply (4cos2x + -1x) * (1 + insx) (4cos2x * (1 + insx) + -1x * (1 + insx)) = 0 ((1 * 4cos2x + insx * 4cos2x) + -1x * (1 + insx)) = 0 Reorder the terms: ((4cinos3x2 + 4cos2x) + -1x * (1 + insx)) = 0 ((4cinos3x2 + 4cos2x) + -1x * (1 + insx)) = 0 (4cinos3x2 + 4cos2x + (1 * -1x + insx * -1x)) = 0 Reorder the terms: (4cinos3x2 + 4cos2x + (-1insx2 + -1x)) = 0 (4cinos3x2 + 4cos2x + (-1insx2 + -1x)) = 0 (4cinos3x2 + 4cos2x + -1insx2 + -1x) = 0 Solving 4cinos3x2 + 4cos2x + -1insx2 + -1x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'insx2' to each side of the equation. 4cinos3x2 + 4cos2x + -1insx2 + insx2 + -1x = 0 + insx2 Combine like terms: -1insx2 + insx2 = 0 4cinos3x2 + 4cos2x + 0 + -1x = 0 + insx2 4cinos3x2 + 4cos2x + -1x = 0 + insx2 Remove the zero: 4cinos3x2 + 4cos2x + -1x = insx2 Add 'x' to each side of the equation. 4cinos3x2 + 4cos2x + -1x + x = insx2 + x Combine like terms: -1x + x = 0 4cinos3x2 + 4cos2x + 0 = insx2 + x 4cinos3x2 + 4cos2x = insx2 + x Reorder the terms: 4cinos3x2 + 4cos2x + -1insx2 + -1x = insx2 + -1insx2 + x + -1x Combine like terms: insx2 + -1insx2 = 0 4cinos3x2 + 4cos2x + -1insx2 + -1x = 0 + x + -1x 4cinos3x2 + 4cos2x + -1insx2 + -1x = x + -1x Combine like terms: x + -1x = 0 4cinos3x2 + 4cos2x + -1insx2 + -1x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(4cinos3x + 4cos2 + -1insx + -1) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4cinos3x + 4cos2 + -1insx + -1)' equal to zero and attempt to solve: Simplifying 4cinos3x + 4cos2 + -1insx + -1 = 0 Reorder the terms: -1 + 4cinos3x + 4cos2 + -1insx = 0 Solving -1 + 4cinos3x + 4cos2 + -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 + 4cinos3x + 4cos2 + 1 + -1insx = 0 + 1 Reorder the terms: -1 + 1 + 4cinos3x + 4cos2 + -1insx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4cinos3x + 4cos2 + -1insx = 0 + 1 4cinos3x + 4cos2 + -1insx = 0 + 1 Combine like terms: 0 + 1 = 1 4cinos3x + 4cos2 + -1insx = 1 Add 'insx' to each side of the equation. 4cinos3x + 4cos2 + -1insx + insx = 1 + insx Combine like terms: -1insx + insx = 0 4cinos3x + 4cos2 + 0 = 1 + insx 4cinos3x + 4cos2 = 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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