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Simplifying 15x(15x) + -5x = 0 Remove parenthesis around (15x) 15x * 15x + -5x = 0 Reorder the terms for easier multiplication: 15 * 15x * x + -5x = 0 Multiply 15 * 15 225x * x + -5x = 0 Multiply x * x 225x2 + -5x = 0 Reorder the terms: -5x + 225x2 = 0 Solving -5x + 225x2 = 0 Solving for variable 'x'. 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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