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Simplifying h(x) = (2x + 5)(3x + -1) Multiply h * x hx = (2x + 5)(3x + -1) Reorder the terms: hx = (5 + 2x)(3x + -1) Reorder the terms: hx = (5 + 2x)(-1 + 3x) Multiply (5 + 2x) * (-1 + 3x) hx = (5(-1 + 3x) + 2x * (-1 + 3x)) hx = ((-1 * 5 + 3x * 5) + 2x * (-1 + 3x)) hx = ((-5 + 15x) + 2x * (-1 + 3x)) hx = (-5 + 15x + (-1 * 2x + 3x * 2x)) hx = (-5 + 15x + (-2x + 6x2)) Combine like terms: 15x + -2x = 13x hx = (-5 + 13x + 6x2) Solving hx = -5 + 13x + 6x2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = -5x-1 + 13 + 6x Simplifying h = -5x-1 + 13 + 6x Reorder the terms: h = 13 + -5x-1 + 6x
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