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Simplifying (F + -1g)(x) = (4x2 + -3) + -1(x + 1) Reorder the terms for easier multiplication: x(F + -1g) = (4x2 + -3) + -1(x + 1) (F * x + -1g * x) = (4x2 + -3) + -1(x + 1) Reorder the terms: (-1gx + xF) = (4x2 + -3) + -1(x + 1) (-1gx + xF) = (4x2 + -3) + -1(x + 1) Reorder the terms: -1gx + xF = (-3 + 4x2) + -1(x + 1) Remove parenthesis around (-3 + 4x2) -1gx + xF = -3 + 4x2 + -1(x + 1) Reorder the terms: -1gx + xF = -3 + 4x2 + -1(1 + x) -1gx + xF = -3 + 4x2 + (1 * -1 + x * -1) -1gx + xF = -3 + 4x2 + (-1 + -1x) Reorder the terms: -1gx + xF = -3 + -1 + -1x + 4x2 Combine like terms: -3 + -1 = -4 -1gx + xF = -4 + -1x + 4x2 Solving -1gx + xF = -4 + -1x + 4x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1xF' to each side of the equation. -1gx + xF + -1xF = -4 + -1x + -1xF + 4x2 Combine like terms: xF + -1xF = 0 -1gx + 0 = -4 + -1x + -1xF + 4x2 -1gx = -4 + -1x + -1xF + 4x2 Divide each side by '-1x'. g = 4x-1 + 1 + F + -4x Simplifying g = 4x-1 + 1 + F + -4x Reorder the terms: g = 1 + F + 4x-1 + -4x
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