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Simplifying (4x + -16)(x + 4) = 0 Reorder the terms: (-16 + 4x)(x + 4) = 0 Reorder the terms: (-16 + 4x)(4 + x) = 0 Multiply (-16 + 4x) * (4 + x) (-16(4 + x) + 4x * (4 + x)) = 0 ((4 * -16 + x * -16) + 4x * (4 + x)) = 0 ((-64 + -16x) + 4x * (4 + x)) = 0 (-64 + -16x + (4 * 4x + x * 4x)) = 0 (-64 + -16x + (16x + 4x2)) = 0 Combine like terms: -16x + 16x = 0 (-64 + 0 + 4x2) = 0 (-64 + 4x2) = 0 Solving -64 + 4x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 4x2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 4x2 = 0 + 64 4x2 = 0 + 64 Combine like terms: 0 + 64 = 64 4x2 = 64 Divide each side by '4'. x2 = 16 Simplifying x2 = 16 Take the square root of each side: x = {-4, 4}
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