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Simplifying 2x(x + -10) = x Reorder the terms: 2x(-10 + x) = x (-10 * 2x + x * 2x) = x (-20x + 2x2) = x Solving -20x + 2x2 = x Solving for variable 'x'. Reorder the terms: -20x + -1x + 2x2 = x + -1x Combine like terms: -20x + -1x = -21x -21x + 2x2 = x + -1x Combine like terms: x + -1x = 0 -21x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-21 + 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 '(-21 + 2x)' equal to zero and attempt to solve: Simplifying -21 + 2x = 0 Solving -21 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 2x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 0 + 21 2x = 0 + 21 Combine like terms: 0 + 21 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5Solution
x = {0, 10.5}
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