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Simplifying h(x) = (x + -4)(x + -2) Multiply h * x hx = (x + -4)(x + -2) Reorder the terms: hx = (-4 + x)(x + -2) Reorder the terms: hx = (-4 + x)(-2 + x) Multiply (-4 + x) * (-2 + x) hx = (-4(-2 + x) + x(-2 + x)) hx = ((-2 * -4 + x * -4) + x(-2 + x)) hx = ((8 + -4x) + x(-2 + x)) hx = (8 + -4x + (-2 * x + x * x)) hx = (8 + -4x + (-2x + x2)) Combine like terms: -4x + -2x = -6x hx = (8 + -6x + x2) Solving hx = 8 + -6x + x2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = 8x-1 + -6 + x Simplifying h = 8x-1 + -6 + x Reorder the terms: h = -6 + 8x-1 + x
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