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Simplifying 16 + -4(x2 + 4x + 4) = 0 Reorder the terms: 16 + -4(4 + 4x + x2) = 0 16 + (4 * -4 + 4x * -4 + x2 * -4) = 0 16 + (-16 + -16x + -4x2) = 0 Combine like terms: 16 + -16 = 0 0 + -16x + -4x2 = 0 -16x + -4x2 = 0 Solving -16x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4x'. -4x(4 + x) = 0 Ignore the factor -4.Subproblem 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0, -4}
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