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Simplifying h(x) = (2x + -6)(2x + 1) Multiply h * x hx = (2x + -6)(2x + 1) Reorder the terms: hx = (-6 + 2x)(2x + 1) Reorder the terms: hx = (-6 + 2x)(1 + 2x) Multiply (-6 + 2x) * (1 + 2x) hx = (-6(1 + 2x) + 2x * (1 + 2x)) hx = ((1 * -6 + 2x * -6) + 2x * (1 + 2x)) hx = ((-6 + -12x) + 2x * (1 + 2x)) hx = (-6 + -12x + (1 * 2x + 2x * 2x)) hx = (-6 + -12x + (2x + 4x2)) Combine like terms: -12x + 2x = -10x hx = (-6 + -10x + 4x2) Solving hx = -6 + -10x + 4x2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = -6x-1 + -10 + 4x Simplifying h = -6x-1 + -10 + 4x Reorder the terms: h = -10 + -6x-1 + 4x
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