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Simplifying y = (x + 3)(x + -6)(x + -7) Reorder the terms: y = (3 + x)(x + -6)(x + -7) Reorder the terms: y = (3 + x)(-6 + x)(x + -7) Reorder the terms: y = (3 + x)(-6 + x)(-7 + x) Multiply (3 + x) * (-6 + x) y = (3(-6 + x) + x(-6 + x))(-7 + x) y = ((-6 * 3 + x * 3) + x(-6 + x))(-7 + x) y = ((-18 + 3x) + x(-6 + x))(-7 + x) y = (-18 + 3x + (-6 * x + x * x))(-7 + x) y = (-18 + 3x + (-6x + x2))(-7 + x) Combine like terms: 3x + -6x = -3x y = (-18 + -3x + x2)(-7 + x) Multiply (-18 + -3x + x2) * (-7 + x) y = (-18(-7 + x) + -3x * (-7 + x) + x2(-7 + x)) y = ((-7 * -18 + x * -18) + -3x * (-7 + x) + x2(-7 + x)) y = ((126 + -18x) + -3x * (-7 + x) + x2(-7 + x)) y = (126 + -18x + (-7 * -3x + x * -3x) + x2(-7 + x)) y = (126 + -18x + (21x + -3x2) + x2(-7 + x)) y = (126 + -18x + 21x + -3x2 + (-7 * x2 + x * x2)) y = (126 + -18x + 21x + -3x2 + (-7x2 + x3)) Combine like terms: -18x + 21x = 3x y = (126 + 3x + -3x2 + -7x2 + x3) Combine like terms: -3x2 + -7x2 = -10x2 y = (126 + 3x + -10x2 + x3) Solving y = 126 + 3x + -10x2 + x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 126 + 3x + -10x2 + x3
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