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Simplifying 3x3 + 24x2 + 62x = 0 Reorder the terms: 62x + 24x2 + 3x3 = 0 Solving 62x + 24x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(62 + 24x + 3x2) = 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 '(62 + 24x + 3x2)' equal to zero and attempt to solve: Simplifying 62 + 24x + 3x2 = 0 Solving 62 + 24x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 20.66666667 + 8x + x2 = 0 Move the constant term to the right: Add '-20.66666667' to each side of the equation. 20.66666667 + 8x + -20.66666667 + x2 = 0 + -20.66666667 Reorder the terms: 20.66666667 + -20.66666667 + 8x + x2 = 0 + -20.66666667 Combine like terms: 20.66666667 + -20.66666667 = 0.00000000 0.00000000 + 8x + x2 = 0 + -20.66666667 8x + x2 = 0 + -20.66666667 Combine like terms: 0 + -20.66666667 = -20.66666667 8x + x2 = -20.66666667 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -20.66666667 + 16 Reorder the terms: 16 + 8x + x2 = -20.66666667 + 16 Combine like terms: -20.66666667 + 16 = -4.66666667 16 + 8x + x2 = -4.66666667 Factor a perfect square on the left side: (x + 4)(x + 4) = -4.66666667 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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