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Simplifying g(x) = (xsquared + 4x + -12)(x + -3) Multiply g * x gx = (xsquared + 4x + -12)(x + -3) Reorder the terms: gx = (-12 + adeqrsux + 4x)(x + -3) Reorder the terms: gx = (-12 + adeqrsux + 4x)(-3 + x) Multiply (-12 + adeqrsux + 4x) * (-3 + x) gx = (-12(-3 + x) + adeqrsux(-3 + x) + 4x * (-3 + x)) gx = ((-3 * -12 + x * -12) + adeqrsux(-3 + x) + 4x * (-3 + x)) gx = ((36 + -12x) + adeqrsux(-3 + x) + 4x * (-3 + x)) gx = (36 + -12x + (-3 * adeqrsux + x * adeqrsux) + 4x * (-3 + x)) gx = (36 + -12x + (-3adeqrsux + adeqrsux2) + 4x * (-3 + x)) gx = (36 + -12x + -3adeqrsux + adeqrsux2 + (-3 * 4x + x * 4x)) gx = (36 + -12x + -3adeqrsux + adeqrsux2 + (-12x + 4x2)) Reorder the terms: gx = (36 + -3adeqrsux + adeqrsux2 + -12x + -12x + 4x2) Combine like terms: -12x + -12x = -24x gx = (36 + -3adeqrsux + adeqrsux2 + -24x + 4x2) Solving gx = 36 + -3adeqrsux + adeqrsux2 + -24x + 4x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = 36x-1 + -3adeqrsu + adeqrsux + -24 + 4x Simplifying g = 36x-1 + -3adeqrsu + adeqrsux + -24 + 4x Reorder the terms: g = -24 + -3adeqrsu + adeqrsux + 36x-1 + 4x
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