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Simplifying (37 + -1x)(37 + -1x) * x = 0 Reorder the terms for easier multiplication: x(37 + -1x)(37 + -1x) = 0 Multiply (37 + -1x) * (37 + -1x) x(37(37 + -1x) + -1x * (37 + -1x)) = 0 x((37 * 37 + -1x * 37) + -1x * (37 + -1x)) = 0 x((1369 + -37x) + -1x * (37 + -1x)) = 0 x(1369 + -37x + (37 * -1x + -1x * -1x)) = 0 x(1369 + -37x + (-37x + 1x2)) = 0 Combine like terms: -37x + -37x = -74x x(1369 + -74x + 1x2) = 0 (1369 * x + -74x * x + 1x2 * x) = 0 (1369x + -74x2 + 1x3) = 0 Solving 1369x + -74x2 + 1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1369 + -74x + x2) = 0 Factor a trinomial. x((37 + -1x)(37 + -1x)) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 37 + -1x = 0 Solving 37 + -1x = 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 + -1x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -1x = 0 + -37 -1x = 0 + -37 Combine like terms: 0 + -37 = -37 -1x = -37 Divide each side by '-1'. x = 37 Simplifying x = 37Subproblem 3
Set the factor '(37 + -1x)' equal to zero and attempt to solve: Simplifying 37 + -1x = 0 Solving 37 + -1x = 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 + -1x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -1x = 0 + -37 -1x = 0 + -37 Combine like terms: 0 + -37 = -37 -1x = -37 Divide each side by '-1'. x = 37 Simplifying x = 37Solution
x = {0, 37, 37}
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