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Simplifying g(x) = (x + -15)(x + -15) + 9 Multiply g * x gx = (x + -15)(x + -15) + 9 Reorder the terms: gx = (-15 + x)(x + -15) + 9 Reorder the terms: gx = (-15 + x)(-15 + x) + 9 Multiply (-15 + x) * (-15 + x) gx = (-15(-15 + x) + x(-15 + x)) + 9 gx = ((-15 * -15 + x * -15) + x(-15 + x)) + 9 gx = ((225 + -15x) + x(-15 + x)) + 9 gx = (225 + -15x + (-15 * x + x * x)) + 9 gx = (225 + -15x + (-15x + x2)) + 9 Combine like terms: -15x + -15x = -30x gx = (225 + -30x + x2) + 9 Reorder the terms: gx = 225 + 9 + -30x + x2 Combine like terms: 225 + 9 = 234 gx = 234 + -30x + x2 Solving gx = 234 + -30x + x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = 234x-1 + -30 + x Simplifying g = 234x-1 + -30 + x Reorder the terms: g = -30 + 234x-1 + x
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