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Simplifying 2cos2(x + -3) * sin(x + -3) = 0 Reorder the terms: 2cos2(-3 + x) * sin(x + -3) = 0 Reorder the terms: 2cos2(-3 + x) * ins(-3 + x) = 0 Reorder the terms for easier multiplication: 2cos2 * ins(-3 + x)(-3 + x) = 0 Multiply cos2 * ins 2cinos3(-3 + x)(-3 + x) = 0 Multiply (-3 + x) * (-3 + x) 2cinos3(-3(-3 + x) + x(-3 + x)) = 0 2cinos3((-3 * -3 + x * -3) + x(-3 + x)) = 0 2cinos3((9 + -3x) + x(-3 + x)) = 0 2cinos3(9 + -3x + (-3 * x + x * x)) = 0 2cinos3(9 + -3x + (-3x + x2)) = 0 Combine like terms: -3x + -3x = -6x 2cinos3(9 + -6x + x2) = 0 (9 * 2cinos3 + -6x * 2cinos3 + x2 * 2cinos3) = 0 (18cinos3 + -12cinos3x + 2cinos3x2) = 0 Solving 18cinos3 + -12cinos3x + 2cinos3x2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2cinos3'. 2cinos3(9 + -6x + x2) = 0 Factor a trinomial. 2cinos3((3 + -1x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'cinos3' equal to zero and attempt to solve: Simplifying cinos3 = 0 Solving cinos3 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cinos3 = 0 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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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