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Simplifying (-1x * x) + -22x + -1(16x * x * x) = 0 Multiply x * x (-1x2) + -22x + -1(16x * x * x) = 0 Multiply x * x (-1x2) + -22x + -1(16x2 * x) = 0 Multiply x2 * x (-1x2) + -22x + -1(16x3) = 0 Remove parenthesis around (16x3) (-1x2) + -22x + -1 * 16x3 = 0 Multiply -1 * 16 (-1x2) + -22x + -16x3 = 0 Reorder the terms: -22x + (-1x2) + -16x3 = 0 Solving -22x + (-1x2) + -16x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(22 + x + 16x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(22 + x + 16x2)' equal to zero and attempt to solve: Simplifying 22 + x + 16x2 = 0 Solving 22 + x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.375 + 0.0625x + x2 = 0 Move the constant term to the right: Add '-1.375' to each side of the equation. 1.375 + 0.0625x + -1.375 + x2 = 0 + -1.375 Reorder the terms: 1.375 + -1.375 + 0.0625x + x2 = 0 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + 0.0625x + x2 = 0 + -1.375 0.0625x + x2 = 0 + -1.375 Combine like terms: 0 + -1.375 = -1.375 0.0625x + x2 = -1.375 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.0625x + 0.25 + x2 = -1.375 + 0.25 Reorder the terms: 0.25 + 0.0625x + x2 = -1.375 + 0.25 Combine like terms: -1.375 + 0.25 = -1.125 0.25 + 0.0625x + x2 = -1.125 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.125 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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