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Simplifying X(2x + -6) = (2x + 3)(x + -6) Reorder the terms: X(-6 + 2x) = (2x + 3)(x + -6) (-6 * X + 2x * X) = (2x + 3)(x + -6) (-6X + 2xX) = (2x + 3)(x + -6) Reorder the terms: -6X + 2xX = (3 + 2x)(x + -6) Reorder the terms: -6X + 2xX = (3 + 2x)(-6 + x) Multiply (3 + 2x) * (-6 + x) -6X + 2xX = (3(-6 + x) + 2x * (-6 + x)) -6X + 2xX = ((-6 * 3 + x * 3) + 2x * (-6 + x)) -6X + 2xX = ((-18 + 3x) + 2x * (-6 + x)) -6X + 2xX = (-18 + 3x + (-6 * 2x + x * 2x)) -6X + 2xX = (-18 + 3x + (-12x + 2x2)) Combine like terms: 3x + -12x = -9x -6X + 2xX = (-18 + -9x + 2x2) Solving -6X + 2xX = -18 + -9x + 2x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 18 + -6X + 9x + 2xX + -2x2 = -18 + -9x + 2x2 + 18 + 9x + -2x2 Reorder the terms: 18 + -6X + 9x + 2xX + -2x2 = -18 + 18 + -9x + 9x + 2x2 + -2x2 Combine like terms: -18 + 18 = 0 18 + -6X + 9x + 2xX + -2x2 = 0 + -9x + 9x + 2x2 + -2x2 18 + -6X + 9x + 2xX + -2x2 = -9x + 9x + 2x2 + -2x2 Combine like terms: -9x + 9x = 0 18 + -6X + 9x + 2xX + -2x2 = 0 + 2x2 + -2x2 18 + -6X + 9x + 2xX + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 18 + -6X + 9x + 2xX + -2x2 = 0 The solution to this equation could not be determined.
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