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Simplifying y = (x + 2)(x + -6)(x + -7) Reorder the terms: y = (2 + x)(x + -6)(x + -7) Reorder the terms: y = (2 + x)(-6 + x)(x + -7) Reorder the terms: y = (2 + x)(-6 + x)(-7 + x) Multiply (2 + x) * (-6 + x) y = (2(-6 + x) + x(-6 + x))(-7 + x) y = ((-6 * 2 + x * 2) + x(-6 + x))(-7 + x) y = ((-12 + 2x) + x(-6 + x))(-7 + x) y = (-12 + 2x + (-6 * x + x * x))(-7 + x) y = (-12 + 2x + (-6x + x2))(-7 + x) Combine like terms: 2x + -6x = -4x y = (-12 + -4x + x2)(-7 + x) Multiply (-12 + -4x + x2) * (-7 + x) y = (-12(-7 + x) + -4x * (-7 + x) + x2(-7 + x)) y = ((-7 * -12 + x * -12) + -4x * (-7 + x) + x2(-7 + x)) y = ((84 + -12x) + -4x * (-7 + x) + x2(-7 + x)) y = (84 + -12x + (-7 * -4x + x * -4x) + x2(-7 + x)) y = (84 + -12x + (28x + -4x2) + x2(-7 + x)) y = (84 + -12x + 28x + -4x2 + (-7 * x2 + x * x2)) y = (84 + -12x + 28x + -4x2 + (-7x2 + x3)) Combine like terms: -12x + 28x = 16x y = (84 + 16x + -4x2 + -7x2 + x3) Combine like terms: -4x2 + -7x2 = -11x2 y = (84 + 16x + -11x2 + x3) Solving y = 84 + 16x + -11x2 + x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 84 + 16x + -11x2 + x3
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