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Simplifying X = 16 + (X + -4)(X + 4) Reorder the terms: X = 16 + (-4 + X)(X + 4) Reorder the terms: X = 16 + (-4 + X)(4 + X) Multiply (-4 + X) * (4 + X) X = 16 + (-4(4 + X) + X(4 + X)) X = 16 + ((4 * -4 + X * -4) + X(4 + X)) X = 16 + ((-16 + -4X) + X(4 + X)) X = 16 + (-16 + -4X + (4 * X + X * X)) X = 16 + (-16 + -4X + (4X + X2)) Combine like terms: -4X + 4X = 0 X = 16 + (-16 + 0 + X2) X = 16 + (-16 + X2) Combine like terms: 16 + -16 = 0 X = 0 + X2 X = X2 Solving X = X2 Solving for variable 'X'. Combine like terms: X2 + -1X2 = 0 X + -1X2 = 0 Factor out the Greatest Common Factor (GCF), 'X'. X(1 + -1X) = 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 '(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 = {0, 1}
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