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Simplifying (X + 7)(X + 14) = 0 Reorder the terms: (7 + X)(X + 14) = 0 Reorder the terms: (7 + X)(14 + X) = 0 Multiply (7 + X) * (14 + X) (7(14 + X) + X(14 + X)) = 0 ((14 * 7 + X * 7) + X(14 + X)) = 0 ((98 + 7X) + X(14 + X)) = 0 (98 + 7X + (14 * X + X * X)) = 0 (98 + 7X + (14X + X2)) = 0 Combine like terms: 7X + 14X = 21X (98 + 21X + X2) = 0 Solving 98 + 21X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (14 + X)(7 + X) = 0Subproblem 1
Set the factor '(14 + X)' equal to zero and attempt to solve: Simplifying 14 + X = 0 Solving 14 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + X = 0 + -14 Combine like terms: 14 + -14 = 0 0 + X = 0 + -14 X = 0 + -14 Combine like terms: 0 + -14 = -14 X = -14 Simplifying X = -14Subproblem 2
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 = -7Solution
X = {-14, -7}
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