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Simplifying -0.005x2 + x + 3 = 3 Reorder the terms: 3 + x + -0.005x2 = 3 Add '-3' to each side of the equation. 3 + x + -3 + -0.005x2 = 3 + -3 Reorder the terms: 3 + -3 + x + -0.005x2 = 3 + -3 Combine like terms: 3 + -3 = 0 0 + x + -0.005x2 = 3 + -3 x + -0.005x2 = 3 + -3 Combine like terms: 3 + -3 = 0 x + -0.005x2 = 0 Solving x + -0.005x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -0.005x) = 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 + -0.005x)' equal to zero and attempt to solve: Simplifying 1 + -0.005x = 0 Solving 1 + -0.005x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -0.005x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.005x = 0 + -1 -0.005x = 0 + -1 Combine like terms: 0 + -1 = -1 -0.005x = -1 Divide each side by '-0.005'. x = 200 Simplifying x = 200Solution
x = {0, 200}
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