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Simplifying 0.5 = tan(4x + 1) Reorder the terms: 0.5 = ant(1 + 4x) 0.5 = (1 * ant + 4x * ant) 0.5 = (1ant + 4antx) Solving 0.5 = 1ant + 4antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1ant' to each side of the equation. 0.5 + -1ant = 1ant + -1ant + 4antx Combine like terms: 1ant + -1ant = 0 0.5 + -1ant = 0 + 4antx 0.5 + -1ant = 4antx Add '-4antx' to each side of the equation. 0.5 + -1ant + -4antx = 4antx + -4antx Combine like terms: 4antx + -4antx = 0 0.5 + -1ant + -4antx = 0 Add '-0.5' to each side of the equation. 0.5 + -1ant + -0.5 + -4antx = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -1ant + -4antx = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1ant + -4antx = 0 + -0.5 -1ant + -4antx = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -1ant + -4antx = -0.5 Reorder the terms: 0.5 + -1ant + -4antx = -0.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.5 + -1ant + -4antx = 0.0 The solution to this equation could not be determined.
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