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Simplifying 5x = (15x)(15x) Remove parenthesis around (15x) 5x = 15x(15x) Remove parenthesis around (15x) 5x = 15x * 15x Reorder the terms for easier multiplication: 5x = 15 * 15x * x Multiply 15 * 15 5x = 225x * x Multiply x * x 5x = 225x2 Solving 5x = 225x2 Solving for variable 'x'. Combine like terms: 225x2 + -225x2 = 0 5x + -225x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(1 + -45x) = 0 Ignore the factor 5.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 + -45x)' equal to zero and attempt to solve: Simplifying 1 + -45x = 0 Solving 1 + -45x = 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 + -45x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -45x = 0 + -1 -45x = 0 + -1 Combine like terms: 0 + -1 = -1 -45x = -1 Divide each side by '-45'. x = 0.02222222222 Simplifying x = 0.02222222222Solution
x = {0, 0.02222222222}
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