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Simplifying (x * x) + 3x + 7 = 1337 Multiply x * x (x2) + 3x + 7 = 1337 x2 + 3x + 7 = 1337 Reorder the terms: 7 + 3x + x2 = 1337 Solving 7 + 3x + x2 = 1337 Solving for variable 'x'. Reorder the terms: 7 + -1337 + 3x + x2 = 1337 + -1337 Combine like terms: 7 + -1337 = -1330 -1330 + 3x + x2 = 1337 + -1337 Combine like terms: 1337 + -1337 = 0 -1330 + 3x + x2 = 0 Factor a trinomial. (-38 + -1x)(35 + -1x) = 0Subproblem 1
Set the factor '(-38 + -1x)' equal to zero and attempt to solve: Simplifying -38 + -1x = 0 Solving -38 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -1x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -1x = 0 + 38 -1x = 0 + 38 Combine like terms: 0 + 38 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38Subproblem 2
Set the factor '(35 + -1x)' equal to zero and attempt to solve: Simplifying 35 + -1x = 0 Solving 35 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -1x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 0 + -35 -1x = 0 + -35 Combine like terms: 0 + -35 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35Solution
x = {-38, 35}
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