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Simplifying g(x) = -4x(x + -7)(x2 + -9) Multiply g * x gx = -4x(x + -7)(x2 + -9) Reorder the terms: gx = -4x(-7 + x)(x2 + -9) Reorder the terms: gx = -4x(-7 + x)(-9 + x2) Multiply (-7 + x) * (-9 + x2) gx = -4x(-7(-9 + x2) + x(-9 + x2)) gx = -4x((-9 * -7 + x2 * -7) + x(-9 + x2)) gx = -4x((63 + -7x2) + x(-9 + x2)) gx = -4x(63 + -7x2 + (-9 * x + x2 * x)) gx = -4x(63 + -7x2 + (-9x + x3)) Reorder the terms: gx = -4x(63 + -9x + -7x2 + x3) gx = -4x(63 + -9x + -7x2 + x3) gx = (63 * -4x + -9x * -4x + -7x2 * -4x + x3 * -4x) gx = (-252x + 36x2 + 28x3 + -4x4) Solving gx = -252x + 36x2 + 28x3 + -4x4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = -252 + 36x + 28x2 + -4x3 Simplifying g = -252 + 36x + 28x2 + -4x3
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