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Simplifying 2x3 + -12x2 + 28x = 0 Reorder the terms: 28x + -12x2 + 2x3 = 0 Solving 28x + -12x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(14 + -6x + 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 '(14 + -6x + x2)' equal to zero and attempt to solve: Simplifying 14 + -6x + x2 = 0 Solving 14 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -6x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + -6x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -6x + x2 = 0 + -14 -6x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -6x + x2 = -14 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -14 + 9 Reorder the terms: 9 + -6x + x2 = -14 + 9 Combine like terms: -14 + 9 = -5 9 + -6x + x2 = -5 Factor a perfect square on the left side: (x + -3)(x + -3) = -5 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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