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Simplifying h(x) = (2x + -5)(5 + x) Multiply h * x hx = (2x + -5)(5 + x) Reorder the terms: hx = (-5 + 2x)(5 + x) Multiply (-5 + 2x) * (5 + x) hx = (-5(5 + x) + 2x * (5 + x)) hx = ((5 * -5 + x * -5) + 2x * (5 + x)) hx = ((-25 + -5x) + 2x * (5 + x)) hx = (-25 + -5x + (5 * 2x + x * 2x)) hx = (-25 + -5x + (10x + 2x2)) Combine like terms: -5x + 10x = 5x hx = (-25 + 5x + 2x2) Solving hx = -25 + 5x + 2x2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = -25x-1 + 5 + 2x Simplifying h = -25x-1 + 5 + 2x Reorder the terms: h = 5 + -25x-1 + 2x
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