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Simplifying h(x) = (2x + -5)(2x + 3) Multiply h * x hx = (2x + -5)(2x + 3) Reorder the terms: hx = (-5 + 2x)(2x + 3) Reorder the terms: hx = (-5 + 2x)(3 + 2x) Multiply (-5 + 2x) * (3 + 2x) hx = (-5(3 + 2x) + 2x * (3 + 2x)) hx = ((3 * -5 + 2x * -5) + 2x * (3 + 2x)) hx = ((-15 + -10x) + 2x * (3 + 2x)) hx = (-15 + -10x + (3 * 2x + 2x * 2x)) hx = (-15 + -10x + (6x + 4x2)) Combine like terms: -10x + 6x = -4x hx = (-15 + -4x + 4x2) Solving hx = -15 + -4x + 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 = -15x-1 + -4 + 4x Simplifying h = -15x-1 + -4 + 4x Reorder the terms: h = -4 + -15x-1 + 4x
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