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Simplifying 4x3 + -36x2 + 104x = 0 Reorder the terms: 104x + -36x2 + 4x3 = 0 Solving 104x + -36x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(26 + -9x + x2) = 0 Ignore the factor 4.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 '(26 + -9x + x2)' equal to zero and attempt to solve: Simplifying 26 + -9x + x2 = 0 Solving 26 + -9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-26' to each side of the equation. 26 + -9x + -26 + x2 = 0 + -26 Reorder the terms: 26 + -26 + -9x + x2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -9x + x2 = 0 + -26 -9x + x2 = 0 + -26 Combine like terms: 0 + -26 = -26 -9x + x2 = -26 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -26 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -26 + 20.25 Combine like terms: -26 + 20.25 = -5.75 20.25 + -9x + x2 = -5.75 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -5.75 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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