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Simplifying (x + -2)(x2 + 8x + 16) = 7(x + 4) Reorder the terms: (-2 + x)(x2 + 8x + 16) = 7(x + 4) Reorder the terms: (-2 + x)(16 + 8x + x2) = 7(x + 4) Multiply (-2 + x) * (16 + 8x + x2) (-2(16 + 8x + x2) + x(16 + 8x + x2)) = 7(x + 4) ((16 * -2 + 8x * -2 + x2 * -2) + x(16 + 8x + x2)) = 7(x + 4) ((-32 + -16x + -2x2) + x(16 + 8x + x2)) = 7(x + 4) (-32 + -16x + -2x2 + (16 * x + 8x * x + x2 * x)) = 7(x + 4) (-32 + -16x + -2x2 + (16x + 8x2 + x3)) = 7(x + 4) Reorder the terms: (-32 + -16x + 16x + -2x2 + 8x2 + x3) = 7(x + 4) Combine like terms: -16x + 16x = 0 (-32 + 0 + -2x2 + 8x2 + x3) = 7(x + 4) (-32 + -2x2 + 8x2 + x3) = 7(x + 4) Combine like terms: -2x2 + 8x2 = 6x2 (-32 + 6x2 + x3) = 7(x + 4) Reorder the terms: -32 + 6x2 + x3 = 7(4 + x) -32 + 6x2 + x3 = (4 * 7 + x * 7) -32 + 6x2 + x3 = (28 + 7x) Solving -32 + 6x2 + x3 = 28 + 7x Solving for variable 'x'. Reorder the terms: -32 + -28 + -7x + 6x2 + x3 = 28 + 7x + -28 + -7x Combine like terms: -32 + -28 = -60 -60 + -7x + 6x2 + x3 = 28 + 7x + -28 + -7x Reorder the terms: -60 + -7x + 6x2 + x3 = 28 + -28 + 7x + -7x Combine like terms: 28 + -28 = 0 -60 + -7x + 6x2 + x3 = 0 + 7x + -7x -60 + -7x + 6x2 + x3 = 7x + -7x Combine like terms: 7x + -7x = 0 -60 + -7x + 6x2 + x3 = 0 The solution to this equation could not be determined.
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