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Simplifying 6x * 6x + 15x + 2 = 0 Reorder the terms for easier multiplication: 6 * 6x * x + 15x + 2 = 0 Multiply 6 * 6 36x * x + 15x + 2 = 0 Multiply x * x 36x2 + 15x + 2 = 0 Reorder the terms: 2 + 15x + 36x2 = 0 Solving 2 + 15x + 36x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 0.05555555556 + 0.4166666667x + x2 = 0 Move the constant term to the right: Add '-0.05555555556' to each side of the equation. 0.05555555556 + 0.4166666667x + -0.05555555556 + x2 = 0 + -0.05555555556 Reorder the terms: 0.05555555556 + -0.05555555556 + 0.4166666667x + x2 = 0 + -0.05555555556 Combine like terms: 0.05555555556 + -0.05555555556 = 0.00000000000 0.00000000000 + 0.4166666667x + x2 = 0 + -0.05555555556 0.4166666667x + x2 = 0 + -0.05555555556 Combine like terms: 0 + -0.05555555556 = -0.05555555556 0.4166666667x + x2 = -0.05555555556 The x term is 0.4166666667x. Take half its coefficient (0.2083333334). Square it (0.04340277781) and add it to both sides. Add '0.04340277781' to each side of the equation. 0.4166666667x + 0.04340277781 + x2 = -0.05555555556 + 0.04340277781 Reorder the terms: 0.04340277781 + 0.4166666667x + x2 = -0.05555555556 + 0.04340277781 Combine like terms: -0.05555555556 + 0.04340277781 = -0.01215277775 0.04340277781 + 0.4166666667x + x2 = -0.01215277775 Factor a perfect square on the left side: (x + 0.2083333334)(x + 0.2083333334) = -0.01215277775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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