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Simplifying 7x2 + 2x + 14 + -1(3x2 + x + -7) = 0 Reorder the terms: 7x2 + 2x + 14 + -1(-7 + x + 3x2) = 0 7x2 + 2x + 14 + (-7 * -1 + x * -1 + 3x2 * -1) = 0 7x2 + 2x + 14 + (7 + -1x + -3x2) = 0 Reorder the terms: 14 + 7 + 2x + -1x + 7x2 + -3x2 = 0 Combine like terms: 14 + 7 = 21 21 + 2x + -1x + 7x2 + -3x2 = 0 Combine like terms: 2x + -1x = 1x 21 + 1x + 7x2 + -3x2 = 0 Combine like terms: 7x2 + -3x2 = 4x2 21 + 1x + 4x2 = 0 Solving 21 + 1x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 5.25 + 0.25x + x2 = 0 Move the constant term to the right: Add '-5.25' to each side of the equation. 5.25 + 0.25x + -5.25 + x2 = 0 + -5.25 Reorder the terms: 5.25 + -5.25 + 0.25x + x2 = 0 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + 0.25x + x2 = 0 + -5.25 0.25x + x2 = 0 + -5.25 Combine like terms: 0 + -5.25 = -5.25 0.25x + x2 = -5.25 The x term is 0.25x. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25x + 0.015625 + x2 = -5.25 + 0.015625 Reorder the terms: 0.015625 + 0.25x + x2 = -5.25 + 0.015625 Combine like terms: -5.25 + 0.015625 = -5.234375 0.015625 + 0.25x + x2 = -5.234375 Factor a perfect square on the left side: (x + 0.125)(x + 0.125) = -5.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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