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Simplifying x3 + -12x2 + 45x = 0 Reorder the terms: 45x + -12x2 + x3 = 0 Solving 45x + -12x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(45 + -12x + 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 '(45 + -12x + x2)' equal to zero and attempt to solve: Simplifying 45 + -12x + x2 = 0 Solving 45 + -12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-45' to each side of the equation. 45 + -12x + -45 + x2 = 0 + -45 Reorder the terms: 45 + -45 + -12x + x2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -12x + x2 = 0 + -45 -12x + x2 = 0 + -45 Combine like terms: 0 + -45 = -45 -12x + x2 = -45 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -45 + 36 Reorder the terms: 36 + -12x + x2 = -45 + 36 Combine like terms: -45 + 36 = -9 36 + -12x + x2 = -9 Factor a perfect square on the left side: (x + -6)(x + -6) = -9 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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