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Simplifying 2x2 + 21x + 23 = -26 Reorder the terms: 23 + 21x + 2x2 = -26 Solving 23 + 21x + 2x2 = -26 Solving for variable 'x'. Reorder the terms: 23 + 26 + 21x + 2x2 = -26 + 26 Combine like terms: 23 + 26 = 49 49 + 21x + 2x2 = -26 + 26 Combine like terms: -26 + 26 = 0 49 + 21x + 2x2 = 0 Factor a trinomial. (7 + x)(7 + 2x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {-7, -3.5}
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