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Simplifying X2 + 28X + 195 = 0 Reorder the terms: 195 + 28X + X2 = 0 Solving 195 + 28X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (15 + X)(13 + X) = 0Subproblem 1
Set the factor '(15 + X)' equal to zero and attempt to solve: Simplifying 15 + X = 0 Solving 15 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + X = 0 + -15 Combine like terms: 15 + -15 = 0 0 + X = 0 + -15 X = 0 + -15 Combine like terms: 0 + -15 = -15 X = -15 Simplifying X = -15Subproblem 2
Set the factor '(13 + X)' equal to zero and attempt to solve: Simplifying 13 + X = 0 Solving 13 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + X = 0 + -13 Combine like terms: 13 + -13 = 0 0 + X = 0 + -13 X = 0 + -13 Combine like terms: 0 + -13 = -13 X = -13 Simplifying X = -13Solution
X = {-15, -13}
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