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Simplifying (X + 7)(X + 3) = 21 Reorder the terms: (7 + X)(X + 3) = 21 Reorder the terms: (7 + X)(3 + X) = 21 Multiply (7 + X) * (3 + X) (7(3 + X) + X(3 + X)) = 21 ((3 * 7 + X * 7) + X(3 + X)) = 21 ((21 + 7X) + X(3 + X)) = 21 (21 + 7X + (3 * X + X * X)) = 21 (21 + 7X + (3X + X2)) = 21 Combine like terms: 7X + 3X = 10X (21 + 10X + X2) = 21 Add '-21' to each side of the equation. 21 + 10X + -21 + X2 = 21 + -21 Reorder the terms: 21 + -21 + 10X + X2 = 21 + -21 Combine like terms: 21 + -21 = 0 0 + 10X + X2 = 21 + -21 10X + X2 = 21 + -21 Combine like terms: 21 + -21 = 0 10X + X2 = 0 Solving 10X + X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(10 + X) = 0Subproblem 1
Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0Subproblem 2
Set the factor '(10 + X)' equal to zero and attempt to solve: Simplifying 10 + X = 0 Solving 10 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + X = 0 + -10 X = 0 + -10 Combine like terms: 0 + -10 = -10 X = -10 Simplifying X = -10Solution
X = {0, -10}
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