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Simplifying x3 + 10x2 + 74x = 0 Reorder the terms: 74x + 10x2 + x3 = 0 Solving 74x + 10x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(74 + 10x + 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 '(74 + 10x + x2)' equal to zero and attempt to solve: Simplifying 74 + 10x + x2 = 0 Solving 74 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-74' to each side of the equation. 74 + 10x + -74 + x2 = 0 + -74 Reorder the terms: 74 + -74 + 10x + x2 = 0 + -74 Combine like terms: 74 + -74 = 0 0 + 10x + x2 = 0 + -74 10x + x2 = 0 + -74 Combine like terms: 0 + -74 = -74 10x + x2 = -74 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -74 + 25 Reorder the terms: 25 + 10x + x2 = -74 + 25 Combine like terms: -74 + 25 = -49 25 + 10x + x2 = -49 Factor a perfect square on the left side: (x + 5)(x + 5) = -49 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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