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Simplifying (23X)(23X) = 37X Remove parenthesis around (23X) 23X(23X) = 37X Remove parenthesis around (23X) 23X * 23X = 37X Reorder the terms for easier multiplication: 23 * 23X * X = 37X Multiply 23 * 23 529X * X = 37X Multiply X * X 529X2 = 37X Solving 529X2 = 37X Solving for variable 'X'. Reorder the terms: -37X + 529X2 = 37X + -37X Combine like terms: 37X + -37X = 0 -37X + 529X2 = 0 Factor out the Greatest Common Factor (GCF), 'X'. X(-37 + 529X) = 0Subproblem 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 '(-37 + 529X)' equal to zero and attempt to solve: Simplifying -37 + 529X = 0 Solving -37 + 529X = 0 Move all terms containing X to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 529X = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 529X = 0 + 37 529X = 0 + 37 Combine like terms: 0 + 37 = 37 529X = 37 Divide each side by '529'. X = 0.06994328922 Simplifying X = 0.06994328922Solution
X = {0, 0.06994328922}
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