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Simplifying (x + -4)(x2 + 4x + 16) + -1x(x2 + -6) = 2 Reorder the terms: (-4 + x)(x2 + 4x + 16) + -1x(x2 + -6) = 2 Reorder the terms: (-4 + x)(16 + 4x + x2) + -1x(x2 + -6) = 2 Multiply (-4 + x) * (16 + 4x + x2) (-4(16 + 4x + x2) + x(16 + 4x + x2)) + -1x(x2 + -6) = 2 ((16 * -4 + 4x * -4 + x2 * -4) + x(16 + 4x + x2)) + -1x(x2 + -6) = 2 ((-64 + -16x + -4x2) + x(16 + 4x + x2)) + -1x(x2 + -6) = 2 (-64 + -16x + -4x2 + (16 * x + 4x * x + x2 * x)) + -1x(x2 + -6) = 2 (-64 + -16x + -4x2 + (16x + 4x2 + x3)) + -1x(x2 + -6) = 2 Reorder the terms: (-64 + -16x + 16x + -4x2 + 4x2 + x3) + -1x(x2 + -6) = 2 Combine like terms: -16x + 16x = 0 (-64 + 0 + -4x2 + 4x2 + x3) + -1x(x2 + -6) = 2 (-64 + -4x2 + 4x2 + x3) + -1x(x2 + -6) = 2 Combine like terms: -4x2 + 4x2 = 0 (-64 + 0 + x3) + -1x(x2 + -6) = 2 (-64 + x3) + -1x(x2 + -6) = 2 Reorder the terms: -64 + x3 + -1x(-6 + x2) = 2 -64 + x3 + (-6 * -1x + x2 * -1x) = 2 -64 + x3 + (6x + -1x3) = 2 Reorder the terms: -64 + 6x + x3 + -1x3 = 2 Combine like terms: x3 + -1x3 = 0 -64 + 6x + 0 = 2 -64 + 6x = 2 Solving -64 + 6x = 2 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 + 6x = 2 + 64 Combine like terms: -64 + 64 = 0 0 + 6x = 2 + 64 6x = 2 + 64 Combine like terms: 2 + 64 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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