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Simplifying 0 = 4cos(7x)(4sin(7x) + -1) Remove parenthesis around (7x) 0 = 4cos * 7x(4sin(7x) + -1) Remove parenthesis around (7x) 0 = 4cos * 7x(4ins * 7x + -1) Reorder the terms for easier multiplication: 0 = 4cos * 7x(4 * 7ins * x + -1) Multiply 4 * 7 0 = 4cos * 7x(28ins * x + -1) Multiply ins * x 0 = 4cos * 7x(28insx + -1) Reorder the terms: 0 = 4cos * 7x(-1 + 28insx) Reorder the terms for easier multiplication: 0 = 4 * 7cos * x(-1 + 28insx) Multiply 4 * 7 0 = 28cos * x(-1 + 28insx) Multiply cos * x 0 = 28cosx(-1 + 28insx) 0 = (-1 * 28cosx + 28insx * 28cosx) Reorder the terms: 0 = (784cinos2x2 + -28cosx) 0 = (784cinos2x2 + -28cosx) Solving 0 = 784cinos2x2 + -28cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-784cinos2x2' to each side of the equation. 0 + -784cinos2x2 = 784cinos2x2 + -784cinos2x2 + -28cosx Remove the zero: -784cinos2x2 = 784cinos2x2 + -784cinos2x2 + -28cosx Combine like terms: 784cinos2x2 + -784cinos2x2 = 0 -784cinos2x2 = 0 + -28cosx -784cinos2x2 = -28cosx Add '28cosx' to each side of the equation. -784cinos2x2 + 28cosx = -28cosx + 28cosx Combine like terms: -28cosx + 28cosx = 0 -784cinos2x2 + 28cosx = 0 Factor out the Greatest Common Factor (GCF), '28cosx'. 28cosx(-28insx + 1) = 0 Ignore the factor 28.Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 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 '(-28insx + 1)' equal to zero and attempt to solve: Simplifying -28insx + 1 = 0 Reorder the terms: 1 + -28insx = 0 Solving 1 + -28insx = 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 + -28insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -28insx = 0 + -1 -28insx = 0 + -1 Combine like terms: 0 + -1 = -1 -28insx = -1 Add '28insx' to each side of the equation. -28insx + 28insx = -1 + 28insx Combine like terms: -28insx + 28insx = 0 0 = -1 + 28insx Simplifying 0 = -1 + 28insx 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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