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Simplifying x2 + -1.414x = 0 Reorder the terms: -1.414x + x2 = 0 Solving -1.414x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-1.414 + 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 '(-1.414 + x)' equal to zero and attempt to solve: Simplifying -1.414 + x = 0 Solving -1.414 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1.414' to each side of the equation. -1.414 + 1.414 + x = 0 + 1.414 Combine like terms: -1.414 + 1.414 = 0.000 0.000 + x = 0 + 1.414 x = 0 + 1.414 Combine like terms: 0 + 1.414 = 1.414 x = 1.414 Simplifying x = 1.414Solution
x = {0, 1.414}
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