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Simplifying y = (x + -2)(x + -3)(x + -7) Reorder the terms: y = (-2 + x)(x + -3)(x + -7) Reorder the terms: y = (-2 + x)(-3 + x)(x + -7) Reorder the terms: y = (-2 + x)(-3 + x)(-7 + x) Multiply (-2 + x) * (-3 + x) y = (-2(-3 + x) + x(-3 + x))(-7 + x) y = ((-3 * -2 + x * -2) + x(-3 + x))(-7 + x) y = ((6 + -2x) + x(-3 + x))(-7 + x) y = (6 + -2x + (-3 * x + x * x))(-7 + x) y = (6 + -2x + (-3x + x2))(-7 + x) Combine like terms: -2x + -3x = -5x y = (6 + -5x + x2)(-7 + x) Multiply (6 + -5x + x2) * (-7 + x) y = (6(-7 + x) + -5x * (-7 + x) + x2(-7 + x)) y = ((-7 * 6 + x * 6) + -5x * (-7 + x) + x2(-7 + x)) y = ((-42 + 6x) + -5x * (-7 + x) + x2(-7 + x)) y = (-42 + 6x + (-7 * -5x + x * -5x) + x2(-7 + x)) y = (-42 + 6x + (35x + -5x2) + x2(-7 + x)) y = (-42 + 6x + 35x + -5x2 + (-7 * x2 + x * x2)) y = (-42 + 6x + 35x + -5x2 + (-7x2 + x3)) Combine like terms: 6x + 35x = 41x y = (-42 + 41x + -5x2 + -7x2 + x3) Combine like terms: -5x2 + -7x2 = -12x2 y = (-42 + 41x + -12x2 + x3) Solving y = -42 + 41x + -12x2 + x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -42 + 41x + -12x2 + x3
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