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Simplifying 400x + 54x2 = 0 Solving 400x + 54x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(200 + 27x) = 0 Ignore the factor 2.Subproblem 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 '(200 + 27x)' equal to zero and attempt to solve: Simplifying 200 + 27x = 0 Solving 200 + 27x = 0 Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + 27x = 0 + -200 Combine like terms: 200 + -200 = 0 0 + 27x = 0 + -200 27x = 0 + -200 Combine like terms: 0 + -200 = -200 27x = -200 Divide each side by '27'. x = -7.407407407 Simplifying x = -7.407407407Solution
x = {0, -7.407407407}
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