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Simplifying 2x2 + 16x = -3x Reorder the terms: 16x + 2x2 = -3x Solving 16x + 2x2 = -3x Solving for variable 'x'. Reorder the terms: 16x + 3x + 2x2 = -3x + 3x Combine like terms: 16x + 3x = 19x 19x + 2x2 = -3x + 3x Combine like terms: -3x + 3x = 0 19x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(19 + 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 '(19 + 2x)' equal to zero and attempt to solve: Simplifying 19 + 2x = 0 Solving 19 + 2x = 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 + 2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 0 + -19 2x = 0 + -19 Combine like terms: 0 + -19 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5Solution
x = {0, -9.5}
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