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Simplifying (10x + 3) * 5x = 50x + 15x Reorder the terms: (3 + 10x) * 5x = 50x + 15x Reorder the terms for easier multiplication: 5x(3 + 10x) = 50x + 15x (3 * 5x + 10x * 5x) = 50x + 15x (15x + 50x2) = 50x + 15x Combine like terms: 50x + 15x = 65x 15x + 50x2 = 65x Solving 15x + 50x2 = 65x Solving for variable 'x'. Reorder the terms: 15x + -65x + 50x2 = 65x + -65x Combine like terms: 15x + -65x = -50x -50x + 50x2 = 65x + -65x Combine like terms: 65x + -65x = 0 -50x + 50x2 = 0 Factor out the Greatest Common Factor (GCF), '50x'. 50x(-1 + x) = 0 Ignore the factor 50.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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {0, 1}
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