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Simplifying X + 3(x + -2)(2x + -8) = 0 Reorder the terms: X + 3(-2 + x)(2x + -8) = 0 Reorder the terms: X + 3(-2 + x)(-8 + 2x) = 0 Multiply (-2 + x) * (-8 + 2x) X + 3(-2(-8 + 2x) + x(-8 + 2x)) = 0 X + 3((-8 * -2 + 2x * -2) + x(-8 + 2x)) = 0 X + 3((16 + -4x) + x(-8 + 2x)) = 0 X + 3(16 + -4x + (-8 * x + 2x * x)) = 0 X + 3(16 + -4x + (-8x + 2x2)) = 0 Combine like terms: -4x + -8x = -12x X + 3(16 + -12x + 2x2) = 0 X + (16 * 3 + -12x * 3 + 2x2 * 3) = 0 X + (48 + -36x + 6x2) = 0 Reorder the terms: 48 + X + -36x + 6x2 = 0 Solving 48 + X + -36x + 6x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + X + -36x + -48 + 6x2 = 0 + -48 Reorder the terms: 48 + -48 + X + -36x + 6x2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + X + -36x + 6x2 = 0 + -48 X + -36x + 6x2 = 0 + -48 Combine like terms: 0 + -48 = -48 X + -36x + 6x2 = -48 Add '36x' to each side of the equation. X + -36x + 36x + 6x2 = -48 + 36x Combine like terms: -36x + 36x = 0 X + 0 + 6x2 = -48 + 36x X + 6x2 = -48 + 36x Add '-6x2' to each side of the equation. X + 6x2 + -6x2 = -48 + 36x + -6x2 Combine like terms: 6x2 + -6x2 = 0 X + 0 = -48 + 36x + -6x2 X = -48 + 36x + -6x2 Simplifying X = -48 + 36x + -6x2
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