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Simplifying 8x3 + -2x2 + x + 3x3 = 0 Reorder the terms: x + -2x2 + 8x3 + 3x3 = 0 Combine like terms: 8x3 + 3x3 = 11x3 x + -2x2 + 11x3 = 0 Solving x + -2x2 + 11x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -2x + 11x2) = 0Subproblem 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 '(1 + -2x + 11x2)' equal to zero and attempt to solve: Simplifying 1 + -2x + 11x2 = 0 Solving 1 + -2x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.09090909091 + -0.1818181818x + x2 = 0 Move the constant term to the right: Add '-0.09090909091' to each side of the equation. 0.09090909091 + -0.1818181818x + -0.09090909091 + x2 = 0 + -0.09090909091 Reorder the terms: 0.09090909091 + -0.09090909091 + -0.1818181818x + x2 = 0 + -0.09090909091 Combine like terms: 0.09090909091 + -0.09090909091 = 0.00000000000 0.00000000000 + -0.1818181818x + x2 = 0 + -0.09090909091 -0.1818181818x + x2 = 0 + -0.09090909091 Combine like terms: 0 + -0.09090909091 = -0.09090909091 -0.1818181818x + x2 = -0.09090909091 The x term is -0.1818181818x. Take half its coefficient (-0.0909090909). Square it (0.008264462808) and add it to both sides. Add '0.008264462808' to each side of the equation. -0.1818181818x + 0.008264462808 + x2 = -0.09090909091 + 0.008264462808 Reorder the terms: 0.008264462808 + -0.1818181818x + x2 = -0.09090909091 + 0.008264462808 Combine like terms: -0.09090909091 + 0.008264462808 = -0.082644628102 0.008264462808 + -0.1818181818x + x2 = -0.082644628102 Factor a perfect square on the left side: (x + -0.0909090909)(x + -0.0909090909) = -0.082644628102 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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