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Simplifying (x + 5)(x + 5) = x2 + 4x + -2 Reorder the terms: (5 + x)(x + 5) = x2 + 4x + -2 Reorder the terms: (5 + x)(5 + x) = x2 + 4x + -2 Multiply (5 + x) * (5 + x) (5(5 + x) + x(5 + x)) = x2 + 4x + -2 ((5 * 5 + x * 5) + x(5 + x)) = x2 + 4x + -2 ((25 + 5x) + x(5 + x)) = x2 + 4x + -2 (25 + 5x + (5 * x + x * x)) = x2 + 4x + -2 (25 + 5x + (5x + x2)) = x2 + 4x + -2 Combine like terms: 5x + 5x = 10x (25 + 10x + x2) = x2 + 4x + -2 Reorder the terms: 25 + 10x + x2 = -2 + 4x + x2 Add '-1x2' to each side of the equation. 25 + 10x + x2 + -1x2 = -2 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 25 + 10x + 0 = -2 + 4x + x2 + -1x2 25 + 10x = -2 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 25 + 10x = -2 + 4x + 0 25 + 10x = -2 + 4x Solving 25 + 10x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 25 + 10x + -4x = -2 + 4x + -4x Combine like terms: 10x + -4x = 6x 25 + 6x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 25 + 6x = -2 + 0 25 + 6x = -2 Add '-25' to each side of the equation. 25 + -25 + 6x = -2 + -25 Combine like terms: 25 + -25 = 0 0 + 6x = -2 + -25 6x = -2 + -25 Combine like terms: -2 + -25 = -27 6x = -27 Divide each side by '6'. x = -4.5 Simplifying x = -4.5
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