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Simplifying 2 + -1tan(-4x + 90) = 2 + -2tan(-4x + 90) Reorder the terms: 2 + -1ant(90 + -4x) = 2 + -2tan(-4x + 90) 2 + (90 * -1ant + -4x * -1ant) = 2 + -2tan(-4x + 90) 2 + (-90ant + 4antx) = 2 + -2tan(-4x + 90) Reorder the terms: 2 + -90ant + 4antx = 2 + -2ant(90 + -4x) 2 + -90ant + 4antx = 2 + (90 * -2ant + -4x * -2ant) 2 + -90ant + 4antx = 2 + (-180ant + 8antx) Add '-2' to each side of the equation. 2 + -90ant + -2 + 4antx = 2 + -180ant + -2 + 8antx Reorder the terms: 2 + -2 + -90ant + 4antx = 2 + -180ant + -2 + 8antx Combine like terms: 2 + -2 = 0 0 + -90ant + 4antx = 2 + -180ant + -2 + 8antx -90ant + 4antx = 2 + -180ant + -2 + 8antx Reorder the terms: -90ant + 4antx = 2 + -2 + -180ant + 8antx Combine like terms: 2 + -2 = 0 -90ant + 4antx = 0 + -180ant + 8antx -90ant + 4antx = -180ant + 8antx Solving -90ant + 4antx = -180ant + 8antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '180ant' to each side of the equation. -90ant + 180ant + 4antx = -180ant + 180ant + 8antx Combine like terms: -90ant + 180ant = 90ant 90ant + 4antx = -180ant + 180ant + 8antx Combine like terms: -180ant + 180ant = 0 90ant + 4antx = 0 + 8antx 90ant + 4antx = 8antx Add '-8antx' to each side of the equation. 90ant + 4antx + -8antx = 8antx + -8antx Combine like terms: 4antx + -8antx = -4antx 90ant + -4antx = 8antx + -8antx Combine like terms: 8antx + -8antx = 0 90ant + -4antx = 0 Factor out the Greatest Common Factor (GCF), '2ant'. 2ant(45 + -2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ant' equal to zero and attempt to solve: Simplifying ant = 0 Solving ant = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ant = 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 '(45 + -2x)' equal to zero and attempt to solve: Simplifying 45 + -2x = 0 Solving 45 + -2x = 0 Move all terms containing a to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -2x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 0 + -45 -2x = 0 + -45 Combine like terms: 0 + -45 = -45 -2x = -45 Add '2x' to each side of the equation. -2x + 2x = -45 + 2x Combine like terms: -2x + 2x = 0 0 = -45 + 2x Simplifying 0 = -45 + 2x 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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