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Simplifying a(x) = (2x + -4)(x + -4) * 2 Multiply a * x ax = (2x + -4)(x + -4) * 2 Reorder the terms: ax = (-4 + 2x)(x + -4) * 2 Reorder the terms: ax = (-4 + 2x)(-4 + x) * 2 Reorder the terms for easier multiplication: ax = 2(-4 + 2x)(-4 + x) Multiply (-4 + 2x) * (-4 + x) ax = 2(-4(-4 + x) + 2x * (-4 + x)) ax = 2((-4 * -4 + x * -4) + 2x * (-4 + x)) ax = 2((16 + -4x) + 2x * (-4 + x)) ax = 2(16 + -4x + (-4 * 2x + x * 2x)) ax = 2(16 + -4x + (-8x + 2x2)) Combine like terms: -4x + -8x = -12x ax = 2(16 + -12x + 2x2) ax = (16 * 2 + -12x * 2 + 2x2 * 2) ax = (32 + -24x + 4x2) Solving ax = 32 + -24x + 4x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by 'x'. a = 32x-1 + -24 + 4x Simplifying a = 32x-1 + -24 + 4x Reorder the terms: a = -24 + 32x-1 + 4x
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