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Simplifying y = (2x + -5)(3x + -7)(x + 4) Reorder the terms: y = (-5 + 2x)(3x + -7)(x + 4) Reorder the terms: y = (-5 + 2x)(-7 + 3x)(x + 4) Reorder the terms: y = (-5 + 2x)(-7 + 3x)(4 + x) Multiply (-5 + 2x) * (-7 + 3x) y = (-5(-7 + 3x) + 2x * (-7 + 3x))(4 + x) y = ((-7 * -5 + 3x * -5) + 2x * (-7 + 3x))(4 + x) y = ((35 + -15x) + 2x * (-7 + 3x))(4 + x) y = (35 + -15x + (-7 * 2x + 3x * 2x))(4 + x) y = (35 + -15x + (-14x + 6x2))(4 + x) Combine like terms: -15x + -14x = -29x y = (35 + -29x + 6x2)(4 + x) Multiply (35 + -29x + 6x2) * (4 + x) y = (35(4 + x) + -29x * (4 + x) + 6x2 * (4 + x)) y = ((4 * 35 + x * 35) + -29x * (4 + x) + 6x2 * (4 + x)) y = ((140 + 35x) + -29x * (4 + x) + 6x2 * (4 + x)) y = (140 + 35x + (4 * -29x + x * -29x) + 6x2 * (4 + x)) y = (140 + 35x + (-116x + -29x2) + 6x2 * (4 + x)) y = (140 + 35x + -116x + -29x2 + (4 * 6x2 + x * 6x2)) y = (140 + 35x + -116x + -29x2 + (24x2 + 6x3)) Combine like terms: 35x + -116x = -81x y = (140 + -81x + -29x2 + 24x2 + 6x3) Combine like terms: -29x2 + 24x2 = -5x2 y = (140 + -81x + -5x2 + 6x3) Solving y = 140 + -81x + -5x2 + 6x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 140 + -81x + -5x2 + 6x3
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