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Simplifying (16x + 1) * 5x = 81x2 Reorder the terms: (1 + 16x) * 5x = 81x2 Reorder the terms for easier multiplication: 5x(1 + 16x) = 81x2 (1 * 5x + 16x * 5x) = 81x2 (5x + 80x2) = 81x2 Solving 5x + 80x2 = 81x2 Solving for variable 'x'. Combine like terms: 80x2 + -81x2 = -1x2 5x + -1x2 = 81x2 + -81x2 Combine like terms: 81x2 + -81x2 = 0 5x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(5 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0, 5}
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