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Simplifying (x2 + -4x + 4)(x + -3) = 12x + -24 Reorder the terms: (4 + -4x + x2)(x + -3) = 12x + -24 Reorder the terms: (4 + -4x + x2)(-3 + x) = 12x + -24 Multiply (4 + -4x + x2) * (-3 + x) (4(-3 + x) + -4x * (-3 + x) + x2(-3 + x)) = 12x + -24 ((-3 * 4 + x * 4) + -4x * (-3 + x) + x2(-3 + x)) = 12x + -24 ((-12 + 4x) + -4x * (-3 + x) + x2(-3 + x)) = 12x + -24 (-12 + 4x + (-3 * -4x + x * -4x) + x2(-3 + x)) = 12x + -24 (-12 + 4x + (12x + -4x2) + x2(-3 + x)) = 12x + -24 (-12 + 4x + 12x + -4x2 + (-3 * x2 + x * x2)) = 12x + -24 (-12 + 4x + 12x + -4x2 + (-3x2 + x3)) = 12x + -24 Combine like terms: 4x + 12x = 16x (-12 + 16x + -4x2 + -3x2 + x3) = 12x + -24 Combine like terms: -4x2 + -3x2 = -7x2 (-12 + 16x + -7x2 + x3) = 12x + -24 Reorder the terms: -12 + 16x + -7x2 + x3 = -24 + 12x Solving -12 + 16x + -7x2 + x3 = -24 + 12x Solving for variable 'x'. Reorder the terms: -12 + 24 + 16x + -12x + -7x2 + x3 = -24 + 12x + 24 + -12x Combine like terms: -12 + 24 = 12 12 + 16x + -12x + -7x2 + x3 = -24 + 12x + 24 + -12x Combine like terms: 16x + -12x = 4x 12 + 4x + -7x2 + x3 = -24 + 12x + 24 + -12x Reorder the terms: 12 + 4x + -7x2 + x3 = -24 + 24 + 12x + -12x Combine like terms: -24 + 24 = 0 12 + 4x + -7x2 + x3 = 0 + 12x + -12x 12 + 4x + -7x2 + x3 = 12x + -12x Combine like terms: 12x + -12x = 0 12 + 4x + -7x2 + x3 = 0 The solution to this equation could not be determined.
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