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Simplifying 3x = 2x(2x + 10) Reorder the terms: 3x = 2x(10 + 2x) 3x = (10 * 2x + 2x * 2x) 3x = (20x + 4x2) Solving 3x = 20x + 4x2 Solving for variable 'x'. Combine like terms: 3x + -20x = -17x -17x + -4x2 = 20x + 4x2 + -20x + -4x2 Reorder the terms: -17x + -4x2 = 20x + -20x + 4x2 + -4x2 Combine like terms: 20x + -20x = 0 -17x + -4x2 = 0 + 4x2 + -4x2 -17x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -17x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(17 + 4x) = 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 '(17 + 4x)' equal to zero and attempt to solve: Simplifying 17 + 4x = 0 Solving 17 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 0 + -17 4x = 0 + -17 Combine like terms: 0 + -17 = -17 4x = -17 Divide each side by '4'. x = -4.25 Simplifying x = -4.25Solution
x = {0, -4.25}
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