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Simplifying (-1x2 + 5x + 2) + (6x2 + x) = 0 Reorder the terms: (2 + 5x + -1x2) + (6x2 + x) = 0 Remove parenthesis around (2 + 5x + -1x2) 2 + 5x + -1x2 + (6x2 + x) = 0 Reorder the terms: 2 + 5x + -1x2 + (x + 6x2) = 0 Remove parenthesis around (x + 6x2) 2 + 5x + -1x2 + x + 6x2 = 0 Reorder the terms: 2 + 5x + x + -1x2 + 6x2 = 0 Combine like terms: 5x + x = 6x 2 + 6x + -1x2 + 6x2 = 0 Combine like terms: -1x2 + 6x2 = 5x2 2 + 6x + 5x2 = 0 Solving 2 + 6x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + 1.2x + x2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 1.2x + -0.4 + x2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 1.2x + x2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 1.2x + x2 = 0 + -0.4 1.2x + x2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 1.2x + x2 = -0.4 The x term is 1.2x. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2x + 0.36 + x2 = -0.4 + 0.36 Reorder the terms: 0.36 + 1.2x + x2 = -0.4 + 0.36 Combine like terms: -0.4 + 0.36 = -0.04 0.36 + 1.2x + x2 = -0.04 Factor a perfect square on the left side: (x + 0.6)(x + 0.6) = -0.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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