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Simplifying (5x) * x(5x) = 25x2 Remove parenthesis around (5x) 5x * x(5x) = 25x2 Remove parenthesis around (5x) 5x * x * 5x = 25x2 Reorder the terms for easier multiplication: 5 * 5x * x * x = 25x2 Multiply 5 * 5 25x * x * x = 25x2 Multiply x * x 25x2 * x = 25x2 Multiply x2 * x 25x3 = 25x2 Solving 25x3 = 25x2 Solving for variable 'x'. Reorder the terms: -25x2 + 25x3 = 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 -25x2 + 25x3 = 0 Factor out the Greatest Common Factor (GCF), '25x2'. 25x2(-1 + x) = 0 Ignore the factor 25.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 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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