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Simplifying if(2x + 1)(x + -5) = 2(x2 + -1) Reorder the terms: fi(1 + 2x)(x + -5) = 2(x2 + -1) Reorder the terms: fi(1 + 2x)(-5 + x) = 2(x2 + -1) Multiply (1 + 2x) * (-5 + x) fi(1(-5 + x) + 2x * (-5 + x)) = 2(x2 + -1) fi((-5 * 1 + x * 1) + 2x * (-5 + x)) = 2(x2 + -1) fi((-5 + 1x) + 2x * (-5 + x)) = 2(x2 + -1) fi(-5 + 1x + (-5 * 2x + x * 2x)) = 2(x2 + -1) fi(-5 + 1x + (-10x + 2x2)) = 2(x2 + -1) Combine like terms: 1x + -10x = -9x fi(-5 + -9x + 2x2) = 2(x2 + -1) (-5 * fi + -9x * fi + 2x2 * fi) = 2(x2 + -1) (-5fi + -9fix + 2fix2) = 2(x2 + -1) Reorder the terms: -5fi + -9fix + 2fix2 = 2(-1 + x2) -5fi + -9fix + 2fix2 = (-1 * 2 + x2 * 2) -5fi + -9fix + 2fix2 = (-2 + 2x2) Solving -5fi + -9fix + 2fix2 = -2 + 2x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: 2 + -5fi + -9fix + 2fix2 + -2x2 = -2 + 2x2 + 2 + -2x2 Reorder the terms: 2 + -5fi + -9fix + 2fix2 + -2x2 = -2 + 2 + 2x2 + -2x2 Combine like terms: -2 + 2 = 0 2 + -5fi + -9fix + 2fix2 + -2x2 = 0 + 2x2 + -2x2 2 + -5fi + -9fix + 2fix2 + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 2 + -5fi + -9fix + 2fix2 + -2x2 = 0 The solution to this equation could not be determined.
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