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Simplifying x2 + 3.5x = 0 Reorder the terms: 3.5x + x2 = 0 Solving 3.5x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3.5 + 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 '(3.5 + x)' equal to zero and attempt to solve: Simplifying 3.5 + x = 0 Solving 3.5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = 0 + -3.5 x = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 x = -3.5 Simplifying x = -3.5Solution
x = {0, -3.5}
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