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Simplifying x2 + 6x + 9 + 16 = x2 + 10x + 25 Reorder the terms: 9 + 16 + 6x + x2 = x2 + 10x + 25 Combine like terms: 9 + 16 = 25 25 + 6x + x2 = x2 + 10x + 25 Reorder the terms: 25 + 6x + x2 = 25 + 10x + x2 Add '-25' to each side of the equation. 25 + 6x + -25 + x2 = 25 + 10x + -25 + x2 Reorder the terms: 25 + -25 + 6x + x2 = 25 + 10x + -25 + x2 Combine like terms: 25 + -25 = 0 0 + 6x + x2 = 25 + 10x + -25 + x2 6x + x2 = 25 + 10x + -25 + x2 Reorder the terms: 6x + x2 = 25 + -25 + 10x + x2 Combine like terms: 25 + -25 = 0 6x + x2 = 0 + 10x + x2 6x + x2 = 10x + x2 Add '-1x2' to each side of the equation. 6x + x2 + -1x2 = 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6x + 0 = 10x + x2 + -1x2 6x = 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6x = 10x + 0 6x = 10x Solving 6x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6x + -10x = 10x + -10x Combine like terms: 6x + -10x = -4x -4x = 10x + -10x Combine like terms: 10x + -10x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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