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Simplifying v = (x + 3)(2x + -5)(x + -4) Reorder the terms: v = (3 + x)(2x + -5)(x + -4) Reorder the terms: v = (3 + x)(-5 + 2x)(x + -4) Reorder the terms: v = (3 + x)(-5 + 2x)(-4 + x) Multiply (3 + x) * (-5 + 2x) v = (3(-5 + 2x) + x(-5 + 2x))(-4 + x) v = ((-5 * 3 + 2x * 3) + x(-5 + 2x))(-4 + x) v = ((-15 + 6x) + x(-5 + 2x))(-4 + x) v = (-15 + 6x + (-5 * x + 2x * x))(-4 + x) v = (-15 + 6x + (-5x + 2x2))(-4 + x) Combine like terms: 6x + -5x = 1x v = (-15 + 1x + 2x2)(-4 + x) Multiply (-15 + 1x + 2x2) * (-4 + x) v = (-15(-4 + x) + 1x * (-4 + x) + 2x2 * (-4 + x)) v = ((-4 * -15 + x * -15) + 1x * (-4 + x) + 2x2 * (-4 + x)) v = ((60 + -15x) + 1x * (-4 + x) + 2x2 * (-4 + x)) v = (60 + -15x + (-4 * 1x + x * 1x) + 2x2 * (-4 + x)) v = (60 + -15x + (-4x + 1x2) + 2x2 * (-4 + x)) v = (60 + -15x + -4x + 1x2 + (-4 * 2x2 + x * 2x2)) v = (60 + -15x + -4x + 1x2 + (-8x2 + 2x3)) Combine like terms: -15x + -4x = -19x v = (60 + -19x + 1x2 + -8x2 + 2x3) Combine like terms: 1x2 + -8x2 = -7x2 v = (60 + -19x + -7x2 + 2x3) Solving v = 60 + -19x + -7x2 + 2x3 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Simplifying v = 60 + -19x + -7x2 + 2x3
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