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Simplifying (x + 4)(x + 1) = x2 + 5x + 4 Reorder the terms: (4 + x)(x + 1) = x2 + 5x + 4 Reorder the terms: (4 + x)(1 + x) = x2 + 5x + 4 Multiply (4 + x) * (1 + x) (4(1 + x) + x(1 + x)) = x2 + 5x + 4 ((1 * 4 + x * 4) + x(1 + x)) = x2 + 5x + 4 ((4 + 4x) + x(1 + x)) = x2 + 5x + 4 (4 + 4x + (1 * x + x * x)) = x2 + 5x + 4 (4 + 4x + (1x + x2)) = x2 + 5x + 4 Combine like terms: 4x + 1x = 5x (4 + 5x + x2) = x2 + 5x + 4 Reorder the terms: 4 + 5x + x2 = 4 + 5x + x2 Add '-4' to each side of the equation. 4 + 5x + -4 + x2 = 4 + 5x + -4 + x2 Reorder the terms: 4 + -4 + 5x + x2 = 4 + 5x + -4 + x2 Combine like terms: 4 + -4 = 0 0 + 5x + x2 = 4 + 5x + -4 + x2 5x + x2 = 4 + 5x + -4 + x2 Reorder the terms: 5x + x2 = 4 + -4 + 5x + x2 Combine like terms: 4 + -4 = 0 5x + x2 = 0 + 5x + x2 5x + x2 = 5x + x2 Add '-5x' to each side of the equation. 5x + -5x + x2 = 5x + -5x + x2 Combine like terms: 5x + -5x = 0 0 + x2 = 5x + -5x + x2 x2 = 5x + -5x + x2 Combine like terms: 5x + -5x = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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