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