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Simplifying g = 3x + -1(2 + x)(4x + -3) Reorder the terms: g = 3x + -1(2 + x)(-3 + 4x) Multiply (2 + x) * (-3 + 4x) g = 3x + -1(2(-3 + 4x) + x(-3 + 4x)) g = 3x + -1((-3 * 2 + 4x * 2) + x(-3 + 4x)) g = 3x + -1((-6 + 8x) + x(-3 + 4x)) g = 3x + -1(-6 + 8x + (-3 * x + 4x * x)) g = 3x + -1(-6 + 8x + (-3x + 4x2)) Combine like terms: 8x + -3x = 5x g = 3x + -1(-6 + 5x + 4x2) g = 3x + (-6 * -1 + 5x * -1 + 4x2 * -1) g = 3x + (6 + -5x + -4x2) Reorder the terms: g = 6 + 3x + -5x + -4x2 Combine like terms: 3x + -5x = -2x g = 6 + -2x + -4x2 Solving g = 6 + -2x + -4x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Simplifying g = 6 + -2x + -4x2
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