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Simplifying X2 + 6X + 9 + -16 = 0 Reorder the terms: 9 + -16 + 6X + X2 = 0 Combine like terms: 9 + -16 = -7 -7 + 6X + X2 = 0 Solving -7 + 6X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (-7 + -1X)(1 + -1X) = 0Subproblem 1
Set the factor '(-7 + -1X)' equal to zero and attempt to solve: Simplifying -7 + -1X = 0 Solving -7 + -1X = 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 + -1X = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1X = 0 + 7 -1X = 0 + 7 Combine like terms: 0 + 7 = 7 -1X = 7 Divide each side by '-1'. X = -7 Simplifying X = -7Subproblem 2
Set the factor '(1 + -1X)' equal to zero and attempt to solve: Simplifying 1 + -1X = 0 Solving 1 + -1X = 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 + -1X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X = 0 + -1 -1X = 0 + -1 Combine like terms: 0 + -1 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1Solution
X = {-7, 1}
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