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Simplifying 2x2 + 7x = 5x + -9 Reorder the terms: 7x + 2x2 = 5x + -9 Reorder the terms: 7x + 2x2 = -9 + 5x Solving 7x + 2x2 = -9 + 5x Solving for variable 'x'. Reorder the terms: 9 + 7x + -5x + 2x2 = -9 + 5x + 9 + -5x Combine like terms: 7x + -5x = 2x 9 + 2x + 2x2 = -9 + 5x + 9 + -5x Reorder the terms: 9 + 2x + 2x2 = -9 + 9 + 5x + -5x Combine like terms: -9 + 9 = 0 9 + 2x + 2x2 = 0 + 5x + -5x 9 + 2x + 2x2 = 5x + -5x Combine like terms: 5x + -5x = 0 9 + 2x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4.5 + x + x2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + x + -4.5 + x2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + x + x2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x + x2 = 0 + -4.5 x + x2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 x + x2 = -4.5 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -4.5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -4.5 + 0.25 Combine like terms: -4.5 + 0.25 = -4.25 1.25 + x2 = -4.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -4.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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