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Simplifying (x + 16)(x + 18) = -35 Reorder the terms: (16 + x)(x + 18) = -35 Reorder the terms: (16 + x)(18 + x) = -35 Multiply (16 + x) * (18 + x) (16(18 + x) + x(18 + x)) = -35 ((18 * 16 + x * 16) + x(18 + x)) = -35 ((288 + 16x) + x(18 + x)) = -35 (288 + 16x + (18 * x + x * x)) = -35 (288 + 16x + (18x + x2)) = -35 Combine like terms: 16x + 18x = 34x (288 + 34x + x2) = -35 Solving 288 + 34x + x2 = -35 Solving for variable 'x'. Reorder the terms: 288 + 35 + 34x + x2 = -35 + 35 Combine like terms: 288 + 35 = 323 323 + 34x + x2 = -35 + 35 Combine like terms: -35 + 35 = 0 323 + 34x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-323' to each side of the equation. 323 + 34x + -323 + x2 = 0 + -323 Reorder the terms: 323 + -323 + 34x + x2 = 0 + -323 Combine like terms: 323 + -323 = 0 0 + 34x + x2 = 0 + -323 34x + x2 = 0 + -323 Combine like terms: 0 + -323 = -323 34x + x2 = -323 The x term is 34x. Take half its coefficient (17). Square it (289) and add it to both sides. Add '289' to each side of the equation. 34x + 289 + x2 = -323 + 289 Reorder the terms: 289 + 34x + x2 = -323 + 289 Combine like terms: -323 + 289 = -34 289 + 34x + x2 = -34 Factor a perfect square on the left side: (x + 17)(x + 17) = -34 Can't calculate square root of the right side. The solution to this equation could not be determined.
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