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Simplifying 14x + 9x2 = -12 + x Solving 14x + 9x2 = -12 + x Solving for variable 'x'. Reorder the terms: 12 + 14x + -1x + 9x2 = -12 + x + 12 + -1x Combine like terms: 14x + -1x = 13x 12 + 13x + 9x2 = -12 + x + 12 + -1x Reorder the terms: 12 + 13x + 9x2 = -12 + 12 + x + -1x Combine like terms: -12 + 12 = 0 12 + 13x + 9x2 = 0 + x + -1x 12 + 13x + 9x2 = x + -1x Combine like terms: x + -1x = 0 12 + 13x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.333333333 + 1.444444444x + x2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + 1.444444444x + -1.333333333 + x2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + 1.444444444x + x2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + 1.444444444x + x2 = 0 + -1.333333333 1.444444444x + x2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 1.444444444x + x2 = -1.333333333 The x term is 1.444444444x. Take half its coefficient (0.722222222). Square it (0.5216049380) and add it to both sides. Add '0.5216049380' to each side of the equation. 1.444444444x + 0.5216049380 + x2 = -1.333333333 + 0.5216049380 Reorder the terms: 0.5216049380 + 1.444444444x + x2 = -1.333333333 + 0.5216049380 Combine like terms: -1.333333333 + 0.5216049380 = -0.811728395 0.5216049380 + 1.444444444x + x2 = -0.811728395 Factor a perfect square on the left side: (x + 0.722222222)(x + 0.722222222) = -0.811728395 Can't calculate square root of the right side. The solution to this equation could not be determined.
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