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Simplifying h(x) = -4x(x2 + -1)(x + -7) Multiply h * x hx = -4x(x2 + -1)(x + -7) Reorder the terms: hx = -4x(-1 + x2)(x + -7) Reorder the terms: hx = -4x(-1 + x2)(-7 + x) Multiply (-1 + x2) * (-7 + x) hx = -4x(-1(-7 + x) + x2(-7 + x)) hx = -4x((-7 * -1 + x * -1) + x2(-7 + x)) hx = -4x((7 + -1x) + x2(-7 + x)) hx = -4x(7 + -1x + (-7 * x2 + x * x2)) hx = -4x(7 + -1x + (-7x2 + x3)) hx = -4x(7 + -1x + -7x2 + x3) hx = (7 * -4x + -1x * -4x + -7x2 * -4x + x3 * -4x) hx = (-28x + 4x2 + 28x3 + -4x4) Solving hx = -28x + 4x2 + 28x3 + -4x4 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = -28 + 4x + 28x2 + -4x3 Simplifying h = -28 + 4x + 28x2 + -4x3
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