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Simplifying 9x4 = 37x2 Solving 9x4 = 37x2 Solving for variable 'x'. Reorder the terms: -37x2 + 9x4 = 37x2 + -37x2 Combine like terms: 37x2 + -37x2 = 0 -37x2 + 9x4 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-37 + 9x2) = 0Subproblem 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 '(-37 + 9x2)' equal to zero and attempt to solve: Simplifying -37 + 9x2 = 0 Solving -37 + 9x2 = 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 + 9x2 = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 9x2 = 0 + 37 9x2 = 0 + 37 Combine like terms: 0 + 37 = 37 9x2 = 37 Divide each side by '9'. x2 = 4.111111111 Simplifying x2 = 4.111111111 Take the square root of each side: x = {-2.02758751, 2.02758751}Solution
x = {0, -2.02758751, 2.02758751}
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