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Simplifying v = (x + 3)(5x + -4)(2x + -1) Reorder the terms: v = (3 + x)(5x + -4)(2x + -1) Reorder the terms: v = (3 + x)(-4 + 5x)(2x + -1) Reorder the terms: v = (3 + x)(-4 + 5x)(-1 + 2x) Multiply (3 + x) * (-4 + 5x) v = (3(-4 + 5x) + x(-4 + 5x))(-1 + 2x) v = ((-4 * 3 + 5x * 3) + x(-4 + 5x))(-1 + 2x) v = ((-12 + 15x) + x(-4 + 5x))(-1 + 2x) v = (-12 + 15x + (-4 * x + 5x * x))(-1 + 2x) v = (-12 + 15x + (-4x + 5x2))(-1 + 2x) Combine like terms: 15x + -4x = 11x v = (-12 + 11x + 5x2)(-1 + 2x) Multiply (-12 + 11x + 5x2) * (-1 + 2x) v = (-12(-1 + 2x) + 11x * (-1 + 2x) + 5x2 * (-1 + 2x)) v = ((-1 * -12 + 2x * -12) + 11x * (-1 + 2x) + 5x2 * (-1 + 2x)) v = ((12 + -24x) + 11x * (-1 + 2x) + 5x2 * (-1 + 2x)) v = (12 + -24x + (-1 * 11x + 2x * 11x) + 5x2 * (-1 + 2x)) v = (12 + -24x + (-11x + 22x2) + 5x2 * (-1 + 2x)) v = (12 + -24x + -11x + 22x2 + (-1 * 5x2 + 2x * 5x2)) v = (12 + -24x + -11x + 22x2 + (-5x2 + 10x3)) Combine like terms: -24x + -11x = -35x v = (12 + -35x + 22x2 + -5x2 + 10x3) Combine like terms: 22x2 + -5x2 = 17x2 v = (12 + -35x + 17x2 + 10x3) Solving v = 12 + -35x + 17x2 + 10x3 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Simplifying v = 12 + -35x + 17x2 + 10x3
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