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Simplifying X2 + -10x + 16 = (x + -8)(x + 2) Reorder the terms: 16 + X2 + -10x = (x + -8)(x + 2) Reorder the terms: 16 + X2 + -10x = (-8 + x)(x + 2) Reorder the terms: 16 + X2 + -10x = (-8 + x)(2 + x) Multiply (-8 + x) * (2 + x) 16 + X2 + -10x = (-8(2 + x) + x(2 + x)) 16 + X2 + -10x = ((2 * -8 + x * -8) + x(2 + x)) 16 + X2 + -10x = ((-16 + -8x) + x(2 + x)) 16 + X2 + -10x = (-16 + -8x + (2 * x + x * x)) 16 + X2 + -10x = (-16 + -8x + (2x + x2)) Combine like terms: -8x + 2x = -6x 16 + X2 + -10x = (-16 + -6x + x2) Solving 16 + X2 + -10x = -16 + -6x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + X2 + -16 + -10x = -16 + -6x + -16 + x2 Reorder the terms: 16 + -16 + X2 + -10x = -16 + -6x + -16 + x2 Combine like terms: 16 + -16 = 0 0 + X2 + -10x = -16 + -6x + -16 + x2 X2 + -10x = -16 + -6x + -16 + x2 Reorder the terms: X2 + -10x = -16 + -16 + -6x + x2 Combine like terms: -16 + -16 = -32 X2 + -10x = -32 + -6x + x2 Add '10x' to each side of the equation. X2 + -10x + 10x = -32 + -6x + 10x + x2 Combine like terms: -10x + 10x = 0 X2 + 0 = -32 + -6x + 10x + x2 X2 = -32 + -6x + 10x + x2 Combine like terms: -6x + 10x = 4x X2 = -32 + 4x + x2 Simplifying X2 = -32 + 4x + x2 Reorder the terms: 32 + X2 + -4x + -1x2 = -32 + 4x + x2 + 32 + -4x + -1x2 Reorder the terms: 32 + X2 + -4x + -1x2 = -32 + 32 + 4x + -4x + x2 + -1x2 Combine like terms: -32 + 32 = 0 32 + X2 + -4x + -1x2 = 0 + 4x + -4x + x2 + -1x2 32 + X2 + -4x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 32 + X2 + -4x + -1x2 = 0 + x2 + -1x2 32 + X2 + -4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 32 + X2 + -4x + -1x2 = 0 The solution to this equation could not be determined.
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