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Simplifying x(x + 5) = 2x2 + 10 Reorder the terms: x(5 + x) = 2x2 + 10 (5 * x + x * x) = 2x2 + 10 (5x + x2) = 2x2 + 10 Reorder the terms: 5x + x2 = 10 + 2x2 Solving 5x + x2 = 10 + 2x2 Solving for variable 'x'. Reorder the terms: -10 + 5x + x2 + -2x2 = 10 + 2x2 + -10 + -2x2 Combine like terms: x2 + -2x2 = -1x2 -10 + 5x + -1x2 = 10 + 2x2 + -10 + -2x2 Reorder the terms: -10 + 5x + -1x2 = 10 + -10 + 2x2 + -2x2 Combine like terms: 10 + -10 = 0 -10 + 5x + -1x2 = 0 + 2x2 + -2x2 -10 + 5x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -10 + 5x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 10 + -5x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -5x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -5x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5x + x2 = 0 + -10 -5x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -5x + x2 = -10 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -10 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -10 + 6.25 Combine like terms: -10 + 6.25 = -3.75 6.25 + -5x + x2 = -3.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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