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Simplifying y = (2x + 1)(x + -5)(x + 3) Reorder the terms: y = (1 + 2x)(x + -5)(x + 3) Reorder the terms: y = (1 + 2x)(-5 + x)(x + 3) Reorder the terms: y = (1 + 2x)(-5 + x)(3 + x) Multiply (1 + 2x) * (-5 + x) y = (1(-5 + x) + 2x * (-5 + x))(3 + x) y = ((-5 * 1 + x * 1) + 2x * (-5 + x))(3 + x) y = ((-5 + 1x) + 2x * (-5 + x))(3 + x) y = (-5 + 1x + (-5 * 2x + x * 2x))(3 + x) y = (-5 + 1x + (-10x + 2x2))(3 + x) Combine like terms: 1x + -10x = -9x y = (-5 + -9x + 2x2)(3 + x) Multiply (-5 + -9x + 2x2) * (3 + x) y = (-5(3 + x) + -9x * (3 + x) + 2x2 * (3 + x)) y = ((3 * -5 + x * -5) + -9x * (3 + x) + 2x2 * (3 + x)) y = ((-15 + -5x) + -9x * (3 + x) + 2x2 * (3 + x)) y = (-15 + -5x + (3 * -9x + x * -9x) + 2x2 * (3 + x)) y = (-15 + -5x + (-27x + -9x2) + 2x2 * (3 + x)) y = (-15 + -5x + -27x + -9x2 + (3 * 2x2 + x * 2x2)) y = (-15 + -5x + -27x + -9x2 + (6x2 + 2x3)) Combine like terms: -5x + -27x = -32x y = (-15 + -32x + -9x2 + 6x2 + 2x3) Combine like terms: -9x2 + 6x2 = -3x2 y = (-15 + -32x + -3x2 + 2x3) Solving y = -15 + -32x + -3x2 + 2x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -15 + -32x + -3x2 + 2x3
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