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Simplifying x2 + 29x + 28 = 0 Reorder the terms: 28 + 29x + x2 = 0 Solving 28 + 29x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (28 + x)(1 + x) = 0Subproblem 1
Set the factor '(28 + x)' equal to zero and attempt to solve: Simplifying 28 + x = 0 Solving 28 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + x = 0 + -28 x = 0 + -28 Combine like terms: 0 + -28 = -28 x = -28 Simplifying x = -28Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-28, -1}
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