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Simplifying 15x2 = 4x + -1 Reorder the terms: 15x2 = -1 + 4x Solving 15x2 = -1 + 4x Solving for variable 'x'. Reorder the terms: 1 + -4x + 15x2 = -1 + 4x + 1 + -4x Reorder the terms: 1 + -4x + 15x2 = -1 + 1 + 4x + -4x Combine like terms: -1 + 1 = 0 1 + -4x + 15x2 = 0 + 4x + -4x 1 + -4x + 15x2 = 4x + -4x Combine like terms: 4x + -4x = 0 1 + -4x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.06666666667 + -0.2666666667x + x2 = 0 Move the constant term to the right: Add '-0.06666666667' to each side of the equation. 0.06666666667 + -0.2666666667x + -0.06666666667 + x2 = 0 + -0.06666666667 Reorder the terms: 0.06666666667 + -0.06666666667 + -0.2666666667x + x2 = 0 + -0.06666666667 Combine like terms: 0.06666666667 + -0.06666666667 = 0.00000000000 0.00000000000 + -0.2666666667x + x2 = 0 + -0.06666666667 -0.2666666667x + x2 = 0 + -0.06666666667 Combine like terms: 0 + -0.06666666667 = -0.06666666667 -0.2666666667x + x2 = -0.06666666667 The x term is -0.2666666667x. Take half its coefficient (-0.1333333334). Square it (0.01777777780) and add it to both sides. Add '0.01777777780' to each side of the equation. -0.2666666667x + 0.01777777780 + x2 = -0.06666666667 + 0.01777777780 Reorder the terms: 0.01777777780 + -0.2666666667x + x2 = -0.06666666667 + 0.01777777780 Combine like terms: -0.06666666667 + 0.01777777780 = -0.04888888887 0.01777777780 + -0.2666666667x + x2 = -0.04888888887 Factor a perfect square on the left side: (x + -0.1333333334)(x + -0.1333333334) = -0.04888888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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