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Simplifying x = 20x + 3x2 Solving x = 20x + 3x2 Solving for variable 'x'. Combine like terms: x + -20x = -19x -19x + -3x2 = 20x + 3x2 + -20x + -3x2 Reorder the terms: -19x + -3x2 = 20x + -20x + 3x2 + -3x2 Combine like terms: 20x + -20x = 0 -19x + -3x2 = 0 + 3x2 + -3x2 -19x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -19x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(19 + 3x) = 0 Ignore the factor -1.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 '(19 + 3x)' equal to zero and attempt to solve: Simplifying 19 + 3x = 0 Solving 19 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 3x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 0 + -19 3x = 0 + -19 Combine like terms: 0 + -19 = -19 3x = -19 Divide each side by '3'. x = -6.333333333 Simplifying x = -6.333333333Solution
x = {0, -6.333333333}
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