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Simplifying x = 700x + -2x2 Solving x = 700x + -2x2 Solving for variable 'x'. Combine like terms: x + -700x = -699x -699x + 2x2 = 700x + -2x2 + -700x + 2x2 Reorder the terms: -699x + 2x2 = 700x + -700x + -2x2 + 2x2 Combine like terms: 700x + -700x = 0 -699x + 2x2 = 0 + -2x2 + 2x2 -699x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -699x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-699 + 2x) = 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 '(-699 + 2x)' equal to zero and attempt to solve: Simplifying -699 + 2x = 0 Solving -699 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '699' to each side of the equation. -699 + 699 + 2x = 0 + 699 Combine like terms: -699 + 699 = 0 0 + 2x = 0 + 699 2x = 0 + 699 Combine like terms: 0 + 699 = 699 2x = 699 Divide each side by '2'. x = 349.5 Simplifying x = 349.5Solution
x = {0, 349.5}
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