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Simplifying 35x2 + 61x + 8 = (7x + 1)(5x + 8) Reorder the terms: 8 + 61x + 35x2 = (7x + 1)(5x + 8) Reorder the terms: 8 + 61x + 35x2 = (1 + 7x)(5x + 8) Reorder the terms: 8 + 61x + 35x2 = (1 + 7x)(8 + 5x) Multiply (1 + 7x) * (8 + 5x) 8 + 61x + 35x2 = (1(8 + 5x) + 7x * (8 + 5x)) 8 + 61x + 35x2 = ((8 * 1 + 5x * 1) + 7x * (8 + 5x)) 8 + 61x + 35x2 = ((8 + 5x) + 7x * (8 + 5x)) 8 + 61x + 35x2 = (8 + 5x + (8 * 7x + 5x * 7x)) 8 + 61x + 35x2 = (8 + 5x + (56x + 35x2)) Combine like terms: 5x + 56x = 61x 8 + 61x + 35x2 = (8 + 61x + 35x2) Add '-8' to each side of the equation. 8 + 61x + -8 + 35x2 = 8 + 61x + -8 + 35x2 Reorder the terms: 8 + -8 + 61x + 35x2 = 8 + 61x + -8 + 35x2 Combine like terms: 8 + -8 = 0 0 + 61x + 35x2 = 8 + 61x + -8 + 35x2 61x + 35x2 = 8 + 61x + -8 + 35x2 Reorder the terms: 61x + 35x2 = 8 + -8 + 61x + 35x2 Combine like terms: 8 + -8 = 0 61x + 35x2 = 0 + 61x + 35x2 61x + 35x2 = 61x + 35x2 Add '-61x' to each side of the equation. 61x + -61x + 35x2 = 61x + -61x + 35x2 Combine like terms: 61x + -61x = 0 0 + 35x2 = 61x + -61x + 35x2 35x2 = 61x + -61x + 35x2 Combine like terms: 61x + -61x = 0 35x2 = 0 + 35x2 35x2 = 35x2 Add '-35x2' to each side of the equation. 35x2 + -35x2 = 35x2 + -35x2 Combine like terms: 35x2 + -35x2 = 0 0 = 35x2 + -35x2 Combine like terms: 35x2 + -35x2 = 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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