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Simplifying (9x2 + -5x + 14) = x Reorder the terms: (14 + -5x + 9x2) = x Remove parenthesis around (14 + -5x + 9x2) 14 + -5x + 9x2 = x Solving 14 + -5x + 9x2 = x Solving for variable 'x'. Reorder the terms: 14 + -5x + -1x + 9x2 = x + -1x Combine like terms: -5x + -1x = -6x 14 + -6x + 9x2 = x + -1x Combine like terms: x + -1x = 0 14 + -6x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.555555556 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-1.555555556' to each side of the equation. 1.555555556 + -0.6666666667x + -1.555555556 + x2 = 0 + -1.555555556 Reorder the terms: 1.555555556 + -1.555555556 + -0.6666666667x + x2 = 0 + -1.555555556 Combine like terms: 1.555555556 + -1.555555556 = 0.000000000 0.000000000 + -0.6666666667x + x2 = 0 + -1.555555556 -0.6666666667x + x2 = 0 + -1.555555556 Combine like terms: 0 + -1.555555556 = -1.555555556 -0.6666666667x + x2 = -1.555555556 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -1.555555556 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -1.555555556 + 0.1111111112 Combine like terms: -1.555555556 + 0.1111111112 = -1.4444444448 0.1111111112 + -0.6666666667x + x2 = -1.4444444448 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -1.4444444448 Can't calculate square root of the right side. The solution to this equation could not be determined.
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