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Simplifying 5X3 + 3X2 + 45X = 0 Reorder the terms: 45X + 3X2 + 5X3 = 0 Solving 45X + 3X2 + 5X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(45 + 3X + 5X2) = 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 + 3X + 5X2)' equal to zero and attempt to solve: Simplifying 45 + 3X + 5X2 = 0 Solving 45 + 3X + 5X2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 9 + 0.6X + X2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + 0.6X + -9 + X2 = 0 + -9 Reorder the terms: 9 + -9 + 0.6X + X2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 0.6X + X2 = 0 + -9 0.6X + X2 = 0 + -9 Combine like terms: 0 + -9 = -9 0.6X + X2 = -9 The X term is 0.6X. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6X + 0.09 + X2 = -9 + 0.09 Reorder the terms: 0.09 + 0.6X + X2 = -9 + 0.09 Combine like terms: -9 + 0.09 = -8.91 0.09 + 0.6X + X2 = -8.91 Factor a perfect square on the left side: (X + 0.3)(X + 0.3) = -8.91 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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