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Simplifying sin(7x + -15) = cos(3x + 5) * findx Reorder the terms: ins(-15 + 7x) = cos(3x + 5) * findx (-15 * ins + 7x * ins) = cos(3x + 5) * findx (-15ins + 7insx) = cos(3x + 5) * findx Reorder the terms: -15ins + 7insx = cos(5 + 3x) * findx Reorder the terms for easier multiplication: -15ins + 7insx = cos * dfinx(5 + 3x) Multiply cos * dfinx -15ins + 7insx = cdfinosx(5 + 3x) -15ins + 7insx = (5 * cdfinosx + 3x * cdfinosx) -15ins + 7insx = (5cdfinosx + 3cdfinosx2) Solving -15ins + 7insx = 5cdfinosx + 3cdfinosx2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5cdfinosx' to each side of the equation. -15ins + -5cdfinosx + 7insx = 5cdfinosx + -5cdfinosx + 3cdfinosx2 Reorder the terms: -5cdfinosx + -15ins + 7insx = 5cdfinosx + -5cdfinosx + 3cdfinosx2 Combine like terms: 5cdfinosx + -5cdfinosx = 0 -5cdfinosx + -15ins + 7insx = 0 + 3cdfinosx2 -5cdfinosx + -15ins + 7insx = 3cdfinosx2 Add '-3cdfinosx2' to each side of the equation. -5cdfinosx + -15ins + -3cdfinosx2 + 7insx = 3cdfinosx2 + -3cdfinosx2 Reorder the terms: -5cdfinosx + -3cdfinosx2 + -15ins + 7insx = 3cdfinosx2 + -3cdfinosx2 Combine like terms: 3cdfinosx2 + -3cdfinosx2 = 0 -5cdfinosx + -3cdfinosx2 + -15ins + 7insx = 0 Factor out the Greatest Common Factor (GCF), 'ins'. ins(-5cdfox + -3cdfox2 + -15 + 7x) = 0Subproblem 1
Set the factor 'ins' equal to zero and attempt to solve: Simplifying ins = 0 Solving ins = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ins = 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 '(-5cdfox + -3cdfox2 + -15 + 7x)' equal to zero and attempt to solve: Simplifying -5cdfox + -3cdfox2 + -15 + 7x = 0 Reorder the terms: -15 + -5cdfox + -3cdfox2 + 7x = 0 Solving -15 + -5cdfox + -3cdfox2 + 7x = 0 Move all terms containing i to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -5cdfox + -3cdfox2 + 15 + 7x = 0 + 15 Reorder the terms: -15 + 15 + -5cdfox + -3cdfox2 + 7x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -5cdfox + -3cdfox2 + 7x = 0 + 15 -5cdfox + -3cdfox2 + 7x = 0 + 15 Combine like terms: 0 + 15 = 15 -5cdfox + -3cdfox2 + 7x = 15 Add '5cdfox' to each side of the equation. -5cdfox + -3cdfox2 + 5cdfox + 7x = 15 + 5cdfox Reorder the terms: -5cdfox + 5cdfox + -3cdfox2 + 7x = 15 + 5cdfox Combine like terms: -5cdfox + 5cdfox = 0 0 + -3cdfox2 + 7x = 15 + 5cdfox -3cdfox2 + 7x = 15 + 5cdfox Add '3cdfox2' to each side of the equation. -3cdfox2 + 3cdfox2 + 7x = 15 + 5cdfox + 3cdfox2 Combine like terms: -3cdfox2 + 3cdfox2 = 0 0 + 7x = 15 + 5cdfox + 3cdfox2 7x = 15 + 5cdfox + 3cdfox2 Add '-7x' to each side of the equation. 7x + -7x = 15 + 5cdfox + 3cdfox2 + -7x Combine like terms: 7x + -7x = 0 0 = 15 + 5cdfox + 3cdfox2 + -7x Simplifying 0 = 15 + 5cdfox + 3cdfox2 + -7x 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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