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Simplifying y = (x + -4)(x + 6)(x + -5) Reorder the terms: y = (-4 + x)(x + 6)(x + -5) Reorder the terms: y = (-4 + x)(6 + x)(x + -5) Reorder the terms: y = (-4 + x)(6 + x)(-5 + x) Multiply (-4 + x) * (6 + x) y = (-4(6 + x) + x(6 + x))(-5 + x) y = ((6 * -4 + x * -4) + x(6 + x))(-5 + x) y = ((-24 + -4x) + x(6 + x))(-5 + x) y = (-24 + -4x + (6 * x + x * x))(-5 + x) y = (-24 + -4x + (6x + x2))(-5 + x) Combine like terms: -4x + 6x = 2x y = (-24 + 2x + x2)(-5 + x) Multiply (-24 + 2x + x2) * (-5 + x) y = (-24(-5 + x) + 2x * (-5 + x) + x2(-5 + x)) y = ((-5 * -24 + x * -24) + 2x * (-5 + x) + x2(-5 + x)) y = ((120 + -24x) + 2x * (-5 + x) + x2(-5 + x)) y = (120 + -24x + (-5 * 2x + x * 2x) + x2(-5 + x)) y = (120 + -24x + (-10x + 2x2) + x2(-5 + x)) y = (120 + -24x + -10x + 2x2 + (-5 * x2 + x * x2)) y = (120 + -24x + -10x + 2x2 + (-5x2 + x3)) Combine like terms: -24x + -10x = -34x y = (120 + -34x + 2x2 + -5x2 + x3) Combine like terms: 2x2 + -5x2 = -3x2 y = (120 + -34x + -3x2 + x3) Solving y = 120 + -34x + -3x2 + x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 120 + -34x + -3x2 + x3
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