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Simplifying X(X + 6) = 7 Reorder the terms: X(6 + X) = 7 (6 * X + X * X) = 7 (6X + X2) = 7 Solving 6X + X2 = 7 Solving for variable 'X'. Reorder the terms: -7 + 6X + X2 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + 6X + X2 = 0 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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