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Simplifying x(3x + -400) = 0 Reorder the terms: x(-400 + 3x) = 0 (-400 * x + 3x * x) = 0 (-400x + 3x2) = 0 Solving -400x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-400 + 3x) = 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 '(-400 + 3x)' equal to zero and attempt to solve: Simplifying -400 + 3x = 0 Solving -400 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '400' to each side of the equation. -400 + 400 + 3x = 0 + 400 Combine like terms: -400 + 400 = 0 0 + 3x = 0 + 400 3x = 0 + 400 Combine like terms: 0 + 400 = 400 3x = 400 Divide each side by '3'. x = 133.3333333 Simplifying x = 133.3333333Solution
x = {0, 133.3333333}
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