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Simplifying (6x2 + 6x + 10) + (x2 + 8x) = 0 Reorder the terms: (10 + 6x + 6x2) + (x2 + 8x) = 0 Remove parenthesis around (10 + 6x + 6x2) 10 + 6x + 6x2 + (x2 + 8x) = 0 Reorder the terms: 10 + 6x + 6x2 + (8x + x2) = 0 Remove parenthesis around (8x + x2) 10 + 6x + 6x2 + 8x + x2 = 0 Reorder the terms: 10 + 6x + 8x + 6x2 + x2 = 0 Combine like terms: 6x + 8x = 14x 10 + 14x + 6x2 + x2 = 0 Combine like terms: 6x2 + x2 = 7x2 10 + 14x + 7x2 = 0 Solving 10 + 14x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.428571429 + 2x + x2 = 0 Move the constant term to the right: Add '-1.428571429' to each side of the equation. 1.428571429 + 2x + -1.428571429 + x2 = 0 + -1.428571429 Reorder the terms: 1.428571429 + -1.428571429 + 2x + x2 = 0 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + 2x + x2 = 0 + -1.428571429 2x + x2 = 0 + -1.428571429 Combine like terms: 0 + -1.428571429 = -1.428571429 2x + x2 = -1.428571429 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -1.428571429 + 1 Reorder the terms: 1 + 2x + x2 = -1.428571429 + 1 Combine like terms: -1.428571429 + 1 = -0.428571429 1 + 2x + x2 = -0.428571429 Factor a perfect square on the left side: (x + 1)(x + 1) = -0.428571429 Can't calculate square root of the right side. The solution to this equation could not be determined.
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