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Simplifying 2x3 + -45x2 + 300x = 0 Reorder the terms: 300x + -45x2 + 2x3 = 0 Solving 300x + -45x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(300 + -45x + 2x2) = 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 '(300 + -45x + 2x2)' equal to zero and attempt to solve: Simplifying 300 + -45x + 2x2 = 0 Solving 300 + -45x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 150 + -22.5x + x2 = 0 Move the constant term to the right: Add '-150' to each side of the equation. 150 + -22.5x + -150 + x2 = 0 + -150 Reorder the terms: 150 + -150 + -22.5x + x2 = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -22.5x + x2 = 0 + -150 -22.5x + x2 = 0 + -150 Combine like terms: 0 + -150 = -150 -22.5x + x2 = -150 The x term is -22.5x. Take half its coefficient (-11.25). Square it (126.5625) and add it to both sides. Add '126.5625' to each side of the equation. -22.5x + 126.5625 + x2 = -150 + 126.5625 Reorder the terms: 126.5625 + -22.5x + x2 = -150 + 126.5625 Combine like terms: -150 + 126.5625 = -23.4375 126.5625 + -22.5x + x2 = -23.4375 Factor a perfect square on the left side: (x + -11.25)(x + -11.25) = -23.4375 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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