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Simplifying (6x2 + -2x + 8) + -1(x2 + -7) = 0 Reorder the terms: (8 + -2x + 6x2) + -1(x2 + -7) = 0 Remove parenthesis around (8 + -2x + 6x2) 8 + -2x + 6x2 + -1(x2 + -7) = 0 Reorder the terms: 8 + -2x + 6x2 + -1(-7 + x2) = 0 8 + -2x + 6x2 + (-7 * -1 + x2 * -1) = 0 8 + -2x + 6x2 + (7 + -1x2) = 0 Reorder the terms: 8 + 7 + -2x + 6x2 + -1x2 = 0 Combine like terms: 8 + 7 = 15 15 + -2x + 6x2 + -1x2 = 0 Combine like terms: 6x2 + -1x2 = 5x2 15 + -2x + 5x2 = 0 Solving 15 + -2x + 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'. 3 + -0.4x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -0.4x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -0.4x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.4x + x2 = 0 + -3 -0.4x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -0.4x + x2 = -3 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = -3 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -3 + 0.04 Combine like terms: -3 + 0.04 = -2.96 0.04 + -0.4x + x2 = -2.96 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -2.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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