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Simplifying x3 + -7x2 + 21x = 0 Reorder the terms: 21x + -7x2 + x3 = 0 Solving 21x + -7x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(21 + -7x + x2) = 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 '(21 + -7x + x2)' equal to zero and attempt to solve: Simplifying 21 + -7x + x2 = 0 Solving 21 + -7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + -7x + -21 + x2 = 0 + -21 Reorder the terms: 21 + -21 + -7x + x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -7x + x2 = 0 + -21 -7x + x2 = 0 + -21 Combine like terms: 0 + -21 = -21 -7x + x2 = -21 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -21 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -21 + 12.25 Combine like terms: -21 + 12.25 = -8.75 12.25 + -7x + x2 = -8.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -8.75 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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