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Simplifying 3x + 12 = (0.5x + -2)(x + -6) Reorder the terms: 12 + 3x = (0.5x + -2)(x + -6) Reorder the terms: 12 + 3x = (-2 + 0.5x)(x + -6) Reorder the terms: 12 + 3x = (-2 + 0.5x)(-6 + x) Multiply (-2 + 0.5x) * (-6 + x) 12 + 3x = (-2(-6 + x) + 0.5x * (-6 + x)) 12 + 3x = ((-6 * -2 + x * -2) + 0.5x * (-6 + x)) 12 + 3x = ((12 + -2x) + 0.5x * (-6 + x)) 12 + 3x = (12 + -2x + (-6 * 0.5x + x * 0.5x)) 12 + 3x = (12 + -2x + (-3x + 0.5x2)) Combine like terms: -2x + -3x = -5x 12 + 3x = (12 + -5x + 0.5x2) Add '-12' to each side of the equation. 12 + -12 + 3x = 12 + -5x + -12 + 0.5x2 Combine like terms: 12 + -12 = 0 0 + 3x = 12 + -5x + -12 + 0.5x2 3x = 12 + -5x + -12 + 0.5x2 Reorder the terms: 3x = 12 + -12 + -5x + 0.5x2 Combine like terms: 12 + -12 = 0 3x = 0 + -5x + 0.5x2 3x = -5x + 0.5x2 Solving 3x = -5x + 0.5x2 Solving for variable 'x'. Combine like terms: 3x + 5x = 8x 8x + -0.5x2 = -5x + 0.5x2 + 5x + -0.5x2 Reorder the terms: 8x + -0.5x2 = -5x + 5x + 0.5x2 + -0.5x2 Combine like terms: -5x + 5x = 0 8x + -0.5x2 = 0 + 0.5x2 + -0.5x2 8x + -0.5x2 = 0.5x2 + -0.5x2 Combine like terms: 0.5x2 + -0.5x2 = 0.0 8x + -0.5x2 = 0.0 The solution to this equation could not be determined.
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