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Simplifying 15x + 2x + -12x + -13x2 + -15 = 0 Reorder the terms: -15 + 15x + 2x + -12x + -13x2 = 0 Combine like terms: 15x + 2x = 17x -15 + 17x + -12x + -13x2 = 0 Combine like terms: 17x + -12x = 5x -15 + 5x + -13x2 = 0 Solving -15 + 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'. 1.153846154 + -0.3846153846x + x2 = 0 Move the constant term to the right: Add '-1.153846154' to each side of the equation. 1.153846154 + -0.3846153846x + -1.153846154 + x2 = 0 + -1.153846154 Reorder the terms: 1.153846154 + -1.153846154 + -0.3846153846x + x2 = 0 + -1.153846154 Combine like terms: 1.153846154 + -1.153846154 = 0.000000000 0.000000000 + -0.3846153846x + x2 = 0 + -1.153846154 -0.3846153846x + x2 = 0 + -1.153846154 Combine like terms: 0 + -1.153846154 = -1.153846154 -0.3846153846x + x2 = -1.153846154 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 = -1.153846154 + 0.03698224852 Reorder the terms: 0.03698224852 + -0.3846153846x + x2 = -1.153846154 + 0.03698224852 Combine like terms: -1.153846154 + 0.03698224852 = -1.11686390548 0.03698224852 + -0.3846153846x + x2 = -1.11686390548 Factor a perfect square on the left side: (x + -0.1923076923)(x + -0.1923076923) = -1.11686390548 Can't calculate square root of the right side. The solution to this equation could not be determined.
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