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Simplifying (Sin(x + -1))(sin(x + 5)) = 0 Reorder the terms: (inS(-1 + x))(sin(x + 5)) = 0 ((-1 * inS + x * inS))(sin(x + 5)) = 0 ((-1inS + inxS))(sin(x + 5)) = 0 Reorder the terms: (-1inS + inxS)(ins(5 + x)) = 0 (-1inS + inxS)((5 * ins + x * ins)) = 0 (-1inS + inxS)((5ins + insx)) = 0 Multiply (-1inS + inxS) * (5ins + insx) (-1inS * (5ins + insx) + inxS(5ins + insx)) = 0 ((5ins * -1inS + insx * -1inS) + inxS(5ins + insx)) = 0 ((-5i2n2sS + -1i2n2sxS) + inxS(5ins + insx)) = 0 (-5i2n2sS + -1i2n2sxS + (5ins * inxS + insx * inxS)) = 0 (-5i2n2sS + -1i2n2sxS + (5i2n2sxS + i2n2sx2S)) = 0 Combine like terms: -1i2n2sxS + 5i2n2sxS = 4i2n2sxS (-5i2n2sS + 4i2n2sxS + i2n2sx2S) = 0 Solving -5i2n2sS + 4i2n2sxS + i2n2sx2S = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'i2n2sS'. i2n2sS(-5 + 4x + x2) = 0 Factor a trinomial. i2n2sS((-5 + -1x)(1 + -1x)) = 0Subproblem 1
Set the factor 'i2n2sS' equal to zero and attempt to solve: Simplifying i2n2sS = 0 Solving i2n2sS = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i2n2sS = 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 '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Add 'x' to each side of the equation. -1x + x = 5 + x Combine like terms: -1x + x = 0 0 = 5 + x Simplifying 0 = 5 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x 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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