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Simplifying 4x2 + 13x + 9 = (4x + 9)(x + 1) Reorder the terms: 9 + 13x + 4x2 = (4x + 9)(x + 1) Reorder the terms: 9 + 13x + 4x2 = (9 + 4x)(x + 1) Reorder the terms: 9 + 13x + 4x2 = (9 + 4x)(1 + x) Multiply (9 + 4x) * (1 + x) 9 + 13x + 4x2 = (9(1 + x) + 4x * (1 + x)) 9 + 13x + 4x2 = ((1 * 9 + x * 9) + 4x * (1 + x)) 9 + 13x + 4x2 = ((9 + 9x) + 4x * (1 + x)) 9 + 13x + 4x2 = (9 + 9x + (1 * 4x + x * 4x)) 9 + 13x + 4x2 = (9 + 9x + (4x + 4x2)) Combine like terms: 9x + 4x = 13x 9 + 13x + 4x2 = (9 + 13x + 4x2) Add '-9' to each side of the equation. 9 + 13x + -9 + 4x2 = 9 + 13x + -9 + 4x2 Reorder the terms: 9 + -9 + 13x + 4x2 = 9 + 13x + -9 + 4x2 Combine like terms: 9 + -9 = 0 0 + 13x + 4x2 = 9 + 13x + -9 + 4x2 13x + 4x2 = 9 + 13x + -9 + 4x2 Reorder the terms: 13x + 4x2 = 9 + -9 + 13x + 4x2 Combine like terms: 9 + -9 = 0 13x + 4x2 = 0 + 13x + 4x2 13x + 4x2 = 13x + 4x2 Add '-13x' to each side of the equation. 13x + -13x + 4x2 = 13x + -13x + 4x2 Combine like terms: 13x + -13x = 0 0 + 4x2 = 13x + -13x + 4x2 4x2 = 13x + -13x + 4x2 Combine like terms: 13x + -13x = 0 4x2 = 0 + 4x2 4x2 = 4x2 Add '-4x2' to each side of the equation. 4x2 + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 0 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 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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