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Simplifying (x + -3)(x2 + 3x + 9) + -1x(x + 4)(x + -4) = 21 Reorder the terms: (-3 + x)(x2 + 3x + 9) + -1x(x + 4)(x + -4) = 21 Reorder the terms: (-3 + x)(9 + 3x + x2) + -1x(x + 4)(x + -4) = 21 Multiply (-3 + x) * (9 + 3x + x2) (-3(9 + 3x + x2) + x(9 + 3x + x2)) + -1x(x + 4)(x + -4) = 21 ((9 * -3 + 3x * -3 + x2 * -3) + x(9 + 3x + x2)) + -1x(x + 4)(x + -4) = 21 ((-27 + -9x + -3x2) + x(9 + 3x + x2)) + -1x(x + 4)(x + -4) = 21 (-27 + -9x + -3x2 + (9 * x + 3x * x + x2 * x)) + -1x(x + 4)(x + -4) = 21 (-27 + -9x + -3x2 + (9x + 3x2 + x3)) + -1x(x + 4)(x + -4) = 21 Reorder the terms: (-27 + -9x + 9x + -3x2 + 3x2 + x3) + -1x(x + 4)(x + -4) = 21 Combine like terms: -9x + 9x = 0 (-27 + 0 + -3x2 + 3x2 + x3) + -1x(x + 4)(x + -4) = 21 (-27 + -3x2 + 3x2 + x3) + -1x(x + 4)(x + -4) = 21 Combine like terms: -3x2 + 3x2 = 0 (-27 + 0 + x3) + -1x(x + 4)(x + -4) = 21 (-27 + x3) + -1x(x + 4)(x + -4) = 21 Reorder the terms: -27 + x3 + -1x(4 + x)(x + -4) = 21 Reorder the terms: -27 + x3 + -1x(4 + x)(-4 + x) = 21 Multiply (4 + x) * (-4 + x) -27 + x3 + -1x(4(-4 + x) + x(-4 + x)) = 21 -27 + x3 + -1x((-4 * 4 + x * 4) + x(-4 + x)) = 21 -27 + x3 + -1x((-16 + 4x) + x(-4 + x)) = 21 -27 + x3 + -1x(-16 + 4x + (-4 * x + x * x)) = 21 -27 + x3 + -1x(-16 + 4x + (-4x + x2)) = 21 Combine like terms: 4x + -4x = 0 -27 + x3 + -1x(-16 + 0 + x2) = 21 -27 + x3 + -1x(-16 + x2) = 21 -27 + x3 + (-16 * -1x + x2 * -1x) = 21 -27 + x3 + (16x + -1x3) = 21 Reorder the terms: -27 + 16x + x3 + -1x3 = 21 Combine like terms: x3 + -1x3 = 0 -27 + 16x + 0 = 21 -27 + 16x = 21 Solving -27 + 16x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 16x = 21 + 27 Combine like terms: -27 + 27 = 0 0 + 16x = 21 + 27 16x = 21 + 27 Combine like terms: 21 + 27 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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