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Simplifying (r + -4)(r2 + 4r + 16) = 0 Reorder the terms: (-4 + r)(r2 + 4r + 16) = 0 Reorder the terms: (-4 + r)(16 + 4r + r2) = 0 Multiply (-4 + r) * (16 + 4r + r2) (-4(16 + 4r + r2) + r(16 + 4r + r2)) = 0 ((16 * -4 + 4r * -4 + r2 * -4) + r(16 + 4r + r2)) = 0 ((-64 + -16r + -4r2) + r(16 + 4r + r2)) = 0 (-64 + -16r + -4r2 + (16 * r + 4r * r + r2 * r)) = 0 (-64 + -16r + -4r2 + (16r + 4r2 + r3)) = 0 Reorder the terms: (-64 + -16r + 16r + -4r2 + 4r2 + r3) = 0 Combine like terms: -16r + 16r = 0 (-64 + 0 + -4r2 + 4r2 + r3) = 0 (-64 + -4r2 + 4r2 + r3) = 0 Combine like terms: -4r2 + 4r2 = 0 (-64 + 0 + r3) = 0 (-64 + r3) = 0 Solving -64 + r3 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + r3 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + r3 = 0 + 64 r3 = 0 + 64 Combine like terms: 0 + 64 = 64 r3 = 64 Simplifying r3 = 64 Reorder the terms: -64 + r3 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + r3 = 0 The solution to this equation could not be determined.
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