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Simplifying h(x) = -1(4x + 1)(X + 4) Multiply h * x hx = -1(4x + 1)(X + 4) Reorder the terms: hx = -1(1 + 4x)(X + 4) Reorder the terms: hx = -1(1 + 4x)(4 + X) Multiply (1 + 4x) * (4 + X) hx = -1(1(4 + X) + 4x * (4 + X)) hx = -1((4 * 1 + X * 1) + 4x * (4 + X)) hx = -1((4 + 1X) + 4x * (4 + X)) hx = -1(4 + 1X + (4 * 4x + X * 4x)) hx = -1(4 + 1X + (16x + 4xX)) hx = -1(4 + 1X + 16x + 4xX) hx = (4 * -1 + 1X * -1 + 16x * -1 + 4xX * -1) hx = (-4 + -1X + -16x + -4xX) Solving hx = -4 + -1X + -16x + -4xX Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = -4x-1 + -1x-1X + -16 + -4X Simplifying h = -4x-1 + -1x-1X + -16 + -4X Reorder the terms: h = -16 + -4X + -4x-1 + -1x-1X
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