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Simplifying x = 1500x + -5x2 Solving x = 1500x + -5x2 Solving for variable 'x'. Combine like terms: x + -1500x = -1499x -1499x + 5x2 = 1500x + -5x2 + -1500x + 5x2 Reorder the terms: -1499x + 5x2 = 1500x + -1500x + -5x2 + 5x2 Combine like terms: 1500x + -1500x = 0 -1499x + 5x2 = 0 + -5x2 + 5x2 -1499x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -1499x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1499 + 5x) = 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 '(-1499 + 5x)' equal to zero and attempt to solve: Simplifying -1499 + 5x = 0 Solving -1499 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '1499' to each side of the equation. -1499 + 1499 + 5x = 0 + 1499 Combine like terms: -1499 + 1499 = 0 0 + 5x = 0 + 1499 5x = 0 + 1499 Combine like terms: 0 + 1499 = 1499 5x = 1499 Divide each side by '5'. x = 299.8 Simplifying x = 299.8Solution
x = {0, 299.8}
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