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Simplifying 10x = x2 + 64 Reorder the terms: 10x = 64 + x2 Solving 10x = 64 + x2 Solving for variable 'x'. Reorder the terms: -64 + 10x + -1x2 = 64 + x2 + -64 + -1x2 Reorder the terms: -64 + 10x + -1x2 = 64 + -64 + x2 + -1x2 Combine like terms: 64 + -64 = 0 -64 + 10x + -1x2 = 0 + x2 + -1x2 -64 + 10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -64 + 10x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 64 + -10x + x2 = 0 Move the constant term to the right: Add '-64' to each side of the equation. 64 + -10x + -64 + x2 = 0 + -64 Reorder the terms: 64 + -64 + -10x + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -10x + x2 = 0 + -64 -10x + x2 = 0 + -64 Combine like terms: 0 + -64 = -64 -10x + x2 = -64 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -64 + 25 Reorder the terms: 25 + -10x + x2 = -64 + 25 Combine like terms: -64 + 25 = -39 25 + -10x + x2 = -39 Factor a perfect square on the left side: (x + -5)(x + -5) = -39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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