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Simplifying 6x + 5 = 5x(x + 1) + 5 Reorder the terms: 5 + 6x = 5x(x + 1) + 5 Reorder the terms: 5 + 6x = 5x(1 + x) + 5 5 + 6x = (1 * 5x + x * 5x) + 5 5 + 6x = (5x + 5x2) + 5 Reorder the terms: 5 + 6x = 5 + 5x + 5x2 Add '-5' to each side of the equation. 5 + -5 + 6x = 5 + 5x + -5 + 5x2 Combine like terms: 5 + -5 = 0 0 + 6x = 5 + 5x + -5 + 5x2 6x = 5 + 5x + -5 + 5x2 Reorder the terms: 6x = 5 + -5 + 5x + 5x2 Combine like terms: 5 + -5 = 0 6x = 0 + 5x + 5x2 6x = 5x + 5x2 Solving 6x = 5x + 5x2 Solving for variable 'x'. Combine like terms: 6x + -5x = 1x 1x + -5x2 = 5x + 5x2 + -5x + -5x2 Reorder the terms: 1x + -5x2 = 5x + -5x + 5x2 + -5x2 Combine like terms: 5x + -5x = 0 1x + -5x2 = 0 + 5x2 + -5x2 1x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 1x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -5x) = 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 '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {0, 0.2}
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