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Simplifying sine(12x) = cosine(7x) Remove parenthesis around (12x) eins * 12x = cosine(7x) Reorder the terms for easier multiplication: 12eins * x = cosine(7x) Multiply eins * x 12einsx = cosine(7x) Remove parenthesis around (7x) 12einsx = ceinos * 7x Reorder the terms for easier multiplication: 12einsx = 7ceinos * x Multiply ceinos * x 12einsx = 7ceinosx Solving 12einsx = 7ceinosx Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-7ceinosx' to each side of the equation. -7ceinosx + 12einsx = 7ceinosx + -7ceinosx Combine like terms: 7ceinosx + -7ceinosx = 0 -7ceinosx + 12einsx = 0 Factor out the Greatest Common Factor (GCF), 'einsx'. einsx(-7co + 12) = 0Subproblem 1
Set the factor 'einsx' equal to zero and attempt to solve: Simplifying einsx = 0 Solving einsx = 0 Move all terms containing e to the left, all other terms to the right. Simplifying einsx = 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 '(-7co + 12)' equal to zero and attempt to solve: Simplifying -7co + 12 = 0 Reorder the terms: 12 + -7co = 0 Solving 12 + -7co = 0 Move all terms containing e to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7co = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7co = 0 + -12 -7co = 0 + -12 Combine like terms: 0 + -12 = -12 -7co = -12 Add '7co' to each side of the equation. -7co + 7co = -12 + 7co Combine like terms: -7co + 7co = 0 0 = -12 + 7co Simplifying 0 = -12 + 7co 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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