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Simplifying sine(2b + -40) = cosine(3b + 10) Reorder the terms: eins(-40 + 2b) = cosine(3b + 10) (-40 * eins + 2b * eins) = cosine(3b + 10) Reorder the terms: (2beins + -40eins) = cosine(3b + 10) (2beins + -40eins) = cosine(3b + 10) Reorder the terms: 2beins + -40eins = ceinos(10 + 3b) 2beins + -40eins = (10 * ceinos + 3b * ceinos) Reorder the terms: 2beins + -40eins = (3bceinos + 10ceinos) 2beins + -40eins = (3bceinos + 10ceinos) Solving 2beins + -40eins = 3bceinos + 10ceinos Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3bceinos' to each side of the equation. 2beins + -3bceinos + -40eins = 3bceinos + -3bceinos + 10ceinos Reorder the terms: -3bceinos + 2beins + -40eins = 3bceinos + -3bceinos + 10ceinos Combine like terms: 3bceinos + -3bceinos = 0 -3bceinos + 2beins + -40eins = 0 + 10ceinos -3bceinos + 2beins + -40eins = 10ceinos Add '40eins' to each side of the equation. -3bceinos + 2beins + -40eins + 40eins = 10ceinos + 40eins Combine like terms: -40eins + 40eins = 0 -3bceinos + 2beins + 0 = 10ceinos + 40eins -3bceinos + 2beins = 10ceinos + 40eins Reorder the terms: -3bceinos + 2beins + -10ceinos + -40eins = 10ceinos + -10ceinos + 40eins + -40eins Combine like terms: 10ceinos + -10ceinos = 0 -3bceinos + 2beins + -10ceinos + -40eins = 0 + 40eins + -40eins -3bceinos + 2beins + -10ceinos + -40eins = 40eins + -40eins Combine like terms: 40eins + -40eins = 0 -3bceinos + 2beins + -10ceinos + -40eins = 0 Factor out the Greatest Common Factor (GCF), 'eins'. eins(-3bco + 2b + -10co + -40) = 0Subproblem 1
Set the factor 'eins' equal to zero and attempt to solve: Simplifying eins = 0 Solving eins = 0 Move all terms containing b to the left, all other terms to the right. Add '-1eins' to each side of the equation. eins + -1eins = 0 + -1eins Remove the zero: 0 = -1eins Simplifying 0 = -1eins 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 '(-3bco + 2b + -10co + -40)' equal to zero and attempt to solve: Simplifying -3bco + 2b + -10co + -40 = 0 Reorder the terms: -40 + 2b + -3bco + -10co = 0 Solving -40 + 2b + -3bco + -10co = 0 Move all terms containing b to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 2b + -3bco + 40 + -10co = 0 + 40 Reorder the terms: -40 + 40 + 2b + -3bco + -10co = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 2b + -3bco + -10co = 0 + 40 2b + -3bco + -10co = 0 + 40 Combine like terms: 0 + 40 = 40 2b + -3bco + -10co = 40 Add '10co' to each side of the equation. 2b + -3bco + -10co + 10co = 40 + 10co Combine like terms: -10co + 10co = 0 2b + -3bco + 0 = 40 + 10co 2b + -3bco = 40 + 10co 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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