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Simplifying sin(4x + -10) * 1cos(x + 60) = 0 Reorder the terms: ins(-10 + 4x) * 1cos(x + 60) = 0 Reorder the terms: ins(-10 + 4x) * 1cos(60 + x) = 0 Reorder the terms for easier multiplication: 1ins * cos(-10 + 4x)(60 + x) = 0 Multiply ins * cos 1cinos2(-10 + 4x)(60 + x) = 0 Multiply (-10 + 4x) * (60 + x) 1cinos2(-10(60 + x) + 4x * (60 + x)) = 0 1cinos2((60 * -10 + x * -10) + 4x * (60 + x)) = 0 1cinos2((-600 + -10x) + 4x * (60 + x)) = 0 1cinos2(-600 + -10x + (60 * 4x + x * 4x)) = 0 1cinos2(-600 + -10x + (240x + 4x2)) = 0 Combine like terms: -10x + 240x = 230x 1cinos2(-600 + 230x + 4x2) = 0 (-600 * 1cinos2 + 230x * 1cinos2 + 4x2 * 1cinos2) = 0 (-600cinos2 + 230cinos2x + 4cinos2x2) = 0 Solving -600cinos2 + 230cinos2x + 4cinos2x2 = 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), '2cinos2'. 2cinos2(-300 + 115x + 2x2) = 0 Factor a trinomial. 2cinos2((-60 + -1x)(5 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'cinos2' equal to zero and attempt to solve: Simplifying cinos2 = 0 Solving cinos2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cinos2 = 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 '(-60 + -1x)' equal to zero and attempt to solve: Simplifying -60 + -1x = 0 Solving -60 + -1x = 0 Move all terms containing c to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -1x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -1x = 0 + 60 -1x = 0 + 60 Combine like terms: 0 + 60 = 60 -1x = 60 Add 'x' to each side of the equation. -1x + x = 60 + x Combine like terms: -1x + x = 0 0 = 60 + x Simplifying 0 = 60 + 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 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Add '2x' to each side of the equation. -2x + 2x = -5 + 2x Combine like terms: -2x + 2x = 0 0 = -5 + 2x Simplifying 0 = -5 + 2x 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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