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Simplifying 2x3 + 22x2 + 66x = 0 Reorder the terms: 66x + 22x2 + 2x3 = 0 Solving 66x + 22x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(33 + 11x + x2) = 0 Ignore the factor 2.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 '(33 + 11x + x2)' equal to zero and attempt to solve: Simplifying 33 + 11x + x2 = 0 Solving 33 + 11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-33' to each side of the equation. 33 + 11x + -33 + x2 = 0 + -33 Reorder the terms: 33 + -33 + 11x + x2 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 11x + x2 = 0 + -33 11x + x2 = 0 + -33 Combine like terms: 0 + -33 = -33 11x + x2 = -33 The x term is 11x. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11x + 30.25 + x2 = -33 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -33 + 30.25 Combine like terms: -33 + 30.25 = -2.75 30.25 + 11x + x2 = -2.75 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = -2.75 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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