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Simplifying 15x2 = 7x + -2 Reorder the terms: 15x2 = -2 + 7x Solving 15x2 = -2 + 7x Solving for variable 'x'. Reorder the terms: 2 + -7x + 15x2 = -2 + 7x + 2 + -7x Reorder the terms: 2 + -7x + 15x2 = -2 + 2 + 7x + -7x Combine like terms: -2 + 2 = 0 2 + -7x + 15x2 = 0 + 7x + -7x 2 + -7x + 15x2 = 7x + -7x Combine like terms: 7x + -7x = 0 2 + -7x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.1333333333 + -0.4666666667x + x2 = 0 Move the constant term to the right: Add '-0.1333333333' to each side of the equation. 0.1333333333 + -0.4666666667x + -0.1333333333 + x2 = 0 + -0.1333333333 Reorder the terms: 0.1333333333 + -0.1333333333 + -0.4666666667x + x2 = 0 + -0.1333333333 Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000 0.0000000000 + -0.4666666667x + x2 = 0 + -0.1333333333 -0.4666666667x + x2 = 0 + -0.1333333333 Combine like terms: 0 + -0.1333333333 = -0.1333333333 -0.4666666667x + x2 = -0.1333333333 The x term is -0.4666666667x. Take half its coefficient (-0.2333333334). Square it (0.05444444448) and add it to both sides. Add '0.05444444448' to each side of the equation. -0.4666666667x + 0.05444444448 + x2 = -0.1333333333 + 0.05444444448 Reorder the terms: 0.05444444448 + -0.4666666667x + x2 = -0.1333333333 + 0.05444444448 Combine like terms: -0.1333333333 + 0.05444444448 = -0.07888888882 0.05444444448 + -0.4666666667x + x2 = -0.07888888882 Factor a perfect square on the left side: (x + -0.2333333334)(x + -0.2333333334) = -0.07888888882 Can't calculate square root of the right side. The solution to this equation could not be determined.
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