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Simplifying x2 + -15x + 54 = (x + 9)(x + 6) Reorder the terms: 54 + -15x + x2 = (x + 9)(x + 6) Reorder the terms: 54 + -15x + x2 = (9 + x)(x + 6) Reorder the terms: 54 + -15x + x2 = (9 + x)(6 + x) Multiply (9 + x) * (6 + x) 54 + -15x + x2 = (9(6 + x) + x(6 + x)) 54 + -15x + x2 = ((6 * 9 + x * 9) + x(6 + x)) 54 + -15x + x2 = ((54 + 9x) + x(6 + x)) 54 + -15x + x2 = (54 + 9x + (6 * x + x * x)) 54 + -15x + x2 = (54 + 9x + (6x + x2)) Combine like terms: 9x + 6x = 15x 54 + -15x + x2 = (54 + 15x + x2) Add '-54' to each side of the equation. 54 + -15x + -54 + x2 = 54 + 15x + -54 + x2 Reorder the terms: 54 + -54 + -15x + x2 = 54 + 15x + -54 + x2 Combine like terms: 54 + -54 = 0 0 + -15x + x2 = 54 + 15x + -54 + x2 -15x + x2 = 54 + 15x + -54 + x2 Reorder the terms: -15x + x2 = 54 + -54 + 15x + x2 Combine like terms: 54 + -54 = 0 -15x + x2 = 0 + 15x + x2 -15x + x2 = 15x + x2 Add '-1x2' to each side of the equation. -15x + x2 + -1x2 = 15x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15x + 0 = 15x + x2 + -1x2 -15x = 15x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15x = 15x + 0 -15x = 15x Solving -15x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -15x + -15x = 15x + -15x Combine like terms: -15x + -15x = -30x -30x = 15x + -15x Combine like terms: 15x + -15x = 0 -30x = 0 Divide each side by '-30'. x = 0.0 Simplifying x = 0.0
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