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Simplifying (6x2 + -2x + -1) + -1(-4x2 + -4x + -6) = 0 Reorder the terms: (-1 + -2x + 6x2) + -1(-4x2 + -4x + -6) = 0 Remove parenthesis around (-1 + -2x + 6x2) -1 + -2x + 6x2 + -1(-4x2 + -4x + -6) = 0 Reorder the terms: -1 + -2x + 6x2 + -1(-6 + -4x + -4x2) = 0 -1 + -2x + 6x2 + (-6 * -1 + -4x * -1 + -4x2 * -1) = 0 -1 + -2x + 6x2 + (6 + 4x + 4x2) = 0 Reorder the terms: -1 + 6 + -2x + 4x + 6x2 + 4x2 = 0 Combine like terms: -1 + 6 = 5 5 + -2x + 4x + 6x2 + 4x2 = 0 Combine like terms: -2x + 4x = 2x 5 + 2x + 6x2 + 4x2 = 0 Combine like terms: 6x2 + 4x2 = 10x2 5 + 2x + 10x2 = 0 Solving 5 + 2x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.5 + 0.2x + x2 = 0.0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 0.2x + -0.5 + x2 = 0.0 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.2x + x2 = 0.0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.2x + x2 = 0.0 + -0.5 0.2x + x2 = 0.0 + -0.5 Combine like terms: 0.0 + -0.5 = -0.5 0.2x + x2 = -0.5 The x term is 0.2x. Take half its coefficient (0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. 0.2x + 0.01 + x2 = -0.5 + 0.01 Reorder the terms: 0.01 + 0.2x + x2 = -0.5 + 0.01 Combine like terms: -0.5 + 0.01 = -0.49 0.01 + 0.2x + x2 = -0.49 Factor a perfect square on the left side: (x + 0.1)(x + 0.1) = -0.49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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