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Simplifying 0 = x2 + -49x + 630 Reorder the terms: 0 = 630 + -49x + x2 Solving 0 = 630 + -49x + x2 Solving for variable 'x'. Combine like terms: 0 + -630 = -630 -630 + 49x + -1x2 = 630 + -49x + x2 + -630 + 49x + -1x2 Reorder the terms: -630 + 49x + -1x2 = 630 + -630 + -49x + 49x + x2 + -1x2 Combine like terms: 630 + -630 = 0 -630 + 49x + -1x2 = 0 + -49x + 49x + x2 + -1x2 -630 + 49x + -1x2 = -49x + 49x + x2 + -1x2 Combine like terms: -49x + 49x = 0 -630 + 49x + -1x2 = 0 + x2 + -1x2 -630 + 49x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -630 + 49x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 630 + -49x + x2 = 0 Move the constant term to the right: Add '-630' to each side of the equation. 630 + -49x + -630 + x2 = 0 + -630 Reorder the terms: 630 + -630 + -49x + x2 = 0 + -630 Combine like terms: 630 + -630 = 0 0 + -49x + x2 = 0 + -630 -49x + x2 = 0 + -630 Combine like terms: 0 + -630 = -630 -49x + x2 = -630 The x term is -49x. Take half its coefficient (-24.5). Square it (600.25) and add it to both sides. Add '600.25' to each side of the equation. -49x + 600.25 + x2 = -630 + 600.25 Reorder the terms: 600.25 + -49x + x2 = -630 + 600.25 Combine like terms: -630 + 600.25 = -29.75 600.25 + -49x + x2 = -29.75 Factor a perfect square on the left side: (x + -24.5)(x + -24.5) = -29.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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