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Simplifying h(x) = (x + -2)(x + 4) Multiply h * x hx = (x + -2)(x + 4) Reorder the terms: hx = (-2 + x)(x + 4) Reorder the terms: hx = (-2 + x)(4 + x) Multiply (-2 + x) * (4 + x) hx = (-2(4 + x) + x(4 + x)) hx = ((4 * -2 + x * -2) + x(4 + x)) hx = ((-8 + -2x) + x(4 + x)) hx = (-8 + -2x + (4 * x + x * x)) hx = (-8 + -2x + (4x + x2)) Combine like terms: -2x + 4x = 2x hx = (-8 + 2x + x2) Solving hx = -8 + 2x + x2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = -8x-1 + 2 + x Simplifying h = -8x-1 + 2 + x Reorder the terms: h = 2 + -8x-1 + x
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