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Simplifying sin(3y + -50) + -1cos(2y + 10) = 0 Reorder the terms: ins(-50 + 3y) + -1cos(2y + 10) = 0 (-50 * ins + 3y * ins) + -1cos(2y + 10) = 0 (-50ins + 3insy) + -1cos(2y + 10) = 0 Reorder the terms: -50ins + 3insy + -1cos(10 + 2y) = 0 -50ins + 3insy + (10 * -1cos + 2y * -1cos) = 0 -50ins + 3insy + (-10cos + -2cosy) = 0 Reorder the terms: -10cos + -2cosy + -50ins + 3insy = 0 Solving -10cos + -2cosy + -50ins + 3insy = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '50ins' to each side of the equation. -10cos + -2cosy + -50ins + 50ins + 3insy = 0 + 50ins Combine like terms: -50ins + 50ins = 0 -10cos + -2cosy + 0 + 3insy = 0 + 50ins -10cos + -2cosy + 3insy = 0 + 50ins Remove the zero: -10cos + -2cosy + 3insy = 50ins Add '-3insy' to each side of the equation. -10cos + -2cosy + 3insy + -3insy = 50ins + -3insy Combine like terms: 3insy + -3insy = 0 -10cos + -2cosy + 0 = 50ins + -3insy -10cos + -2cosy = 50ins + -3insy Reorder the terms: -10cos + -2cosy + -50ins + 3insy = 50ins + -50ins + -3insy + 3insy Combine like terms: 50ins + -50ins = 0 -10cos + -2cosy + -50ins + 3insy = 0 + -3insy + 3insy -10cos + -2cosy + -50ins + 3insy = -3insy + 3insy Combine like terms: -3insy + 3insy = 0 -10cos + -2cosy + -50ins + 3insy = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-10co + -2coy + -50in + 3iny) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1s' to each side of the equation. s + -1s = 0 + -1s Remove the zero: 0 = -1s Simplifying 0 = -1s 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 '(-10co + -2coy + -50in + 3iny)' equal to zero and attempt to solve: Simplifying -10co + -2coy + -50in + 3iny = 0 Solving -10co + -2coy + -50in + 3iny = 0 Move all terms containing c to the left, all other terms to the right. Add '50in' to each side of the equation. -10co + -2coy + -50in + 50in + 3iny = 0 + 50in Combine like terms: -50in + 50in = 0 -10co + -2coy + 0 + 3iny = 0 + 50in -10co + -2coy + 3iny = 0 + 50in Remove the zero: -10co + -2coy + 3iny = 50in Add '-3iny' to each side of the equation. -10co + -2coy + 3iny + -3iny = 50in + -3iny Combine like terms: 3iny + -3iny = 0 -10co + -2coy + 0 = 50in + -3iny -10co + -2coy = 50in + -3iny 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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