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Simplifying x2 + 74x = 0 Reorder the terms: 74x + x2 = 0 Solving 74x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(74 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 74 + x = 0 Solving 74 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + x = 0 + -74 Combine like terms: 74 + -74 = 0 0 + x = 0 + -74 x = 0 + -74 Combine like terms: 0 + -74 = -74 x = -74 Simplifying x = -74Solution
x = {0, -74}
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