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Simplifying 5tan(4x + 3) = 15 Reorder the terms: 5ant(3 + 4x) = 15 (3 * 5ant + 4x * 5ant) = 15 (15ant + 20antx) = 15 Solving 15ant + 20antx = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -15 + 15ant + 20antx = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 15ant + 20antx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-3 + 3ant + 4antx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + 3ant + 4antx)' equal to zero and attempt to solve: Simplifying -3 + 3ant + 4antx = 0 Solving -3 + 3ant + 4antx = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3ant + 3 + 4antx = 0 + 3 Reorder the terms: -3 + 3 + 3ant + 4antx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3ant + 4antx = 0 + 3 3ant + 4antx = 0 + 3 Combine like terms: 0 + 3 = 3 3ant + 4antx = 3 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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