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Simplifying 2x2 + 7x + -697 = 0 Reorder the terms: -697 + 7x + 2x2 = 0 Solving -697 + 7x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-41 + -2x)(17 + -1x) = 0Subproblem 1
Set the factor '(-41 + -2x)' equal to zero and attempt to solve: Simplifying -41 + -2x = 0 Solving -41 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -2x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -2x = 0 + 41 -2x = 0 + 41 Combine like terms: 0 + 41 = 41 -2x = 41 Divide each side by '-2'. x = -20.5 Simplifying x = -20.5Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {-20.5, 17}
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