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Simplifying 13x2 + -5x + 21 = 0 Reorder the terms: 21 + -5x + 13x2 = 0 Solving 21 + -5x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 1.615384615 + -0.3846153846x + x2 = 0 Move the constant term to the right: Add '-1.615384615' to each side of the equation. 1.615384615 + -0.3846153846x + -1.615384615 + x2 = 0 + -1.615384615 Reorder the terms: 1.615384615 + -1.615384615 + -0.3846153846x + x2 = 0 + -1.615384615 Combine like terms: 1.615384615 + -1.615384615 = 0.000000000 0.000000000 + -0.3846153846x + x2 = 0 + -1.615384615 -0.3846153846x + x2 = 0 + -1.615384615 Combine like terms: 0 + -1.615384615 = -1.615384615 -0.3846153846x + x2 = -1.615384615 The x term is -0.3846153846x. Take half its coefficient (-0.1923076923). Square it (0.03698224852) and add it to both sides. Add '0.03698224852' to each side of the equation. -0.3846153846x + 0.03698224852 + x2 = -1.615384615 + 0.03698224852 Reorder the terms: 0.03698224852 + -0.3846153846x + x2 = -1.615384615 + 0.03698224852 Combine like terms: -1.615384615 + 0.03698224852 = -1.57840236648 0.03698224852 + -0.3846153846x + x2 = -1.57840236648 Factor a perfect square on the left side: (x + -0.1923076923)(x + -0.1923076923) = -1.57840236648 Can't calculate square root of the right side. The solution to this equation could not be determined.
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