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Simplifying 5x2 + 16x = 11x + -3x2 Reorder the terms: 16x + 5x2 = 11x + -3x2 Solving 16x + 5x2 = 11x + -3x2 Solving for variable 'x'. Reorder the terms: 16x + -11x + 5x2 + 3x2 = 11x + -3x2 + -11x + 3x2 Combine like terms: 16x + -11x = 5x 5x + 5x2 + 3x2 = 11x + -3x2 + -11x + 3x2 Combine like terms: 5x2 + 3x2 = 8x2 5x + 8x2 = 11x + -3x2 + -11x + 3x2 Reorder the terms: 5x + 8x2 = 11x + -11x + -3x2 + 3x2 Combine like terms: 11x + -11x = 0 5x + 8x2 = 0 + -3x2 + 3x2 5x + 8x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 5x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(5 + 8x) = 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 '(5 + 8x)' equal to zero and attempt to solve: Simplifying 5 + 8x = 0 Solving 5 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 0 + -5 8x = 0 + -5 Combine like terms: 0 + -5 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625Solution
x = {0, -0.625}
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