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Simplifying 0 = 16(-0.125 + x) * sin(8x) Remove parenthesis around (8x) 0 = 16(-0.125 + x) * ins * 8x Reorder the terms for easier multiplication: 0 = 16 * 8ins * x(-0.125 + x) Multiply 16 * 8 0 = 128ins * x(-0.125 + x) Multiply ins * x 0 = 128insx(-0.125 + x) 0 = (-0.125 * 128insx + x * 128insx) 0 = (-16insx + 128insx2) Solving 0 = -16insx + 128insx2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '16insx' to each side of the equation. 0 + 16insx = -16insx + 16insx + 128insx2 Remove the zero: 16insx = -16insx + 16insx + 128insx2 Combine like terms: -16insx + 16insx = 0 16insx = 0 + 128insx2 16insx = 128insx2 Add '-128insx2' to each side of the equation. 16insx + -128insx2 = 128insx2 + -128insx2 Combine like terms: 128insx2 + -128insx2 = 0 16insx + -128insx2 = 0 Factor out the Greatest Common Factor (GCF), '16insx'. 16insx(1 + -8x) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'insx' equal to zero and attempt to solve: Simplifying insx = 0 Solving insx = 0 Move all terms containing i to the left, all other terms to the right. Simplifying insx = 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 '(1 + -8x)' equal to zero and attempt to solve: Simplifying 1 + -8x = 0 Solving 1 + -8x = 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 + -8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 0 + -1 -8x = 0 + -1 Combine like terms: 0 + -1 = -1 -8x = -1 Add '8x' to each side of the equation. -8x + 8x = -1 + 8x Combine like terms: -8x + 8x = 0 0 = -1 + 8x Simplifying 0 = -1 + 8x 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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