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Simplifying (5x)(5x) + -15x = 0 Remove parenthesis around (5x) 5x(5x) + -15x = 0 Remove parenthesis around (5x) 5x * 5x + -15x = 0 Reorder the terms for easier multiplication: 5 * 5x * x + -15x = 0 Multiply 5 * 5 25x * x + -15x = 0 Multiply x * x 25x2 + -15x = 0 Reorder the terms: -15x + 25x2 = 0 Solving -15x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-3 + 5x) = 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 '(-3 + 5x)' equal to zero and attempt to solve: Simplifying -3 + 5x = 0 Solving -3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 0 + 3 5x = 0 + 3 Combine like terms: 0 + 3 = 3 5x = 3 Divide each side by '5'. x = 0.6 Simplifying x = 0.6Solution
x = {0, 0.6}
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