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Simplifying 2x2 + 8x = 3x + -7 Reorder the terms: 8x + 2x2 = 3x + -7 Reorder the terms: 8x + 2x2 = -7 + 3x Solving 8x + 2x2 = -7 + 3x Solving for variable 'x'. Reorder the terms: 7 + 8x + -3x + 2x2 = -7 + 3x + 7 + -3x Combine like terms: 8x + -3x = 5x 7 + 5x + 2x2 = -7 + 3x + 7 + -3x Reorder the terms: 7 + 5x + 2x2 = -7 + 7 + 3x + -3x Combine like terms: -7 + 7 = 0 7 + 5x + 2x2 = 0 + 3x + -3x 7 + 5x + 2x2 = 3x + -3x Combine like terms: 3x + -3x = 0 7 + 5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3.5 + 2.5x + x2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + 2.5x + -3.5 + x2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + 2.5x + x2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 2.5x + x2 = 0 + -3.5 2.5x + x2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 2.5x + x2 = -3.5 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = -3.5 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = -3.5 + 1.5625 Combine like terms: -3.5 + 1.5625 = -1.9375 1.5625 + 2.5x + x2 = -1.9375 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = -1.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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