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Simplifying h(x) = (2x + -2)(4x + 6) Multiply h * x hx = (2x + -2)(4x + 6) Reorder the terms: hx = (-2 + 2x)(4x + 6) Reorder the terms: hx = (-2 + 2x)(6 + 4x) Multiply (-2 + 2x) * (6 + 4x) hx = (-2(6 + 4x) + 2x * (6 + 4x)) hx = ((6 * -2 + 4x * -2) + 2x * (6 + 4x)) hx = ((-12 + -8x) + 2x * (6 + 4x)) hx = (-12 + -8x + (6 * 2x + 4x * 2x)) hx = (-12 + -8x + (12x + 8x2)) Combine like terms: -8x + 12x = 4x hx = (-12 + 4x + 8x2) Solving hx = -12 + 4x + 8x2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = -12x-1 + 4 + 8x Simplifying h = -12x-1 + 4 + 8x Reorder the terms: h = 4 + -12x-1 + 8x
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