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Simplifying 37x2 + -72x + -3685 = 0 Reorder the terms: -3685 + -72x + 37x2 = 0 Solving -3685 + -72x + 37x2 = 0 Solving for variable 'x'. Factor a trinomial. (-335 + -37x)(11 + -1x) = 0Subproblem 1
Set the factor '(-335 + -37x)' equal to zero and attempt to solve: Simplifying -335 + -37x = 0 Solving -335 + -37x = 0 Move all terms containing x to the left, all other terms to the right. Add '335' to each side of the equation. -335 + 335 + -37x = 0 + 335 Combine like terms: -335 + 335 = 0 0 + -37x = 0 + 335 -37x = 0 + 335 Combine like terms: 0 + 335 = 335 -37x = 335 Divide each side by '-37'. x = -9.054054054 Simplifying x = -9.054054054Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-9.054054054, 11}
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