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Simplifying 4cos2(x + -5) * sin(x + 1) = 0 Reorder the terms: 4cos2(-5 + x) * sin(x + 1) = 0 Reorder the terms: 4cos2(-5 + x) * ins(1 + x) = 0 Reorder the terms for easier multiplication: 4cos2 * ins(-5 + x)(1 + x) = 0 Multiply cos2 * ins 4cinos3(-5 + x)(1 + x) = 0 Multiply (-5 + x) * (1 + x) 4cinos3(-5(1 + x) + x(1 + x)) = 0 4cinos3((1 * -5 + x * -5) + x(1 + x)) = 0 4cinos3((-5 + -5x) + x(1 + x)) = 0 4cinos3(-5 + -5x + (1 * x + x * x)) = 0 4cinos3(-5 + -5x + (1x + x2)) = 0 Combine like terms: -5x + 1x = -4x 4cinos3(-5 + -4x + x2) = 0 (-5 * 4cinos3 + -4x * 4cinos3 + x2 * 4cinos3) = 0 (-20cinos3 + -16cinos3x + 4cinos3x2) = 0 Solving -20cinos3 + -16cinos3x + 4cinos3x2 = 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), '4cinos3'. 4cinos3(-5 + -4x + x2) = 0 Factor a trinomial. 4cinos3((-1 + -1x)(5 + -1x)) = 0 Ignore the factor 4.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 '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Add 'x' to each side of the equation. -1x + x = 1 + x Combine like terms: -1x + x = 0 0 = 1 + x Simplifying 0 = 1 + 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + 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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