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Simplifying 2x3(8x2 + -3x + 8) = 0 Reorder the terms: 2x3(8 + -3x + 8x2) = 0 (8 * 2x3 + -3x * 2x3 + 8x2 * 2x3) = 0 (16x3 + -6x4 + 16x5) = 0 Solving 16x3 + -6x4 + 16x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x3'. 2x3(8 + -3x + 8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 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 '(8 + -3x + 8x2)' equal to zero and attempt to solve: Simplifying 8 + -3x + 8x2 = 0 Solving 8 + -3x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1 + -0.375x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.375x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.375x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.375x + x2 = 0 + -1 -0.375x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.375x + x2 = -1 The x term is -0.375x. Take half its coefficient (-0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. -0.375x + 0.03515625 + x2 = -1 + 0.03515625 Reorder the terms: 0.03515625 + -0.375x + x2 = -1 + 0.03515625 Combine like terms: -1 + 0.03515625 = -0.96484375 0.03515625 + -0.375x + x2 = -0.96484375 Factor a perfect square on the left side: (x + -0.1875)(x + -0.1875) = -0.96484375 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. The solution to this equation could not be determined.
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