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Simplifying (9x2 + 16x + -1) + -3(x2 + 8x + -2) = 0 Reorder the terms: (-1 + 16x + 9x2) + -3(x2 + 8x + -2) = 0 Remove parenthesis around (-1 + 16x + 9x2) -1 + 16x + 9x2 + -3(x2 + 8x + -2) = 0 Reorder the terms: -1 + 16x + 9x2 + -3(-2 + 8x + x2) = 0 -1 + 16x + 9x2 + (-2 * -3 + 8x * -3 + x2 * -3) = 0 -1 + 16x + 9x2 + (6 + -24x + -3x2) = 0 Reorder the terms: -1 + 6 + 16x + -24x + 9x2 + -3x2 = 0 Combine like terms: -1 + 6 = 5 5 + 16x + -24x + 9x2 + -3x2 = 0 Combine like terms: 16x + -24x = -8x 5 + -8x + 9x2 + -3x2 = 0 Combine like terms: 9x2 + -3x2 = 6x2 5 + -8x + 6x2 = 0 Solving 5 + -8x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.8333333333 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + -1.333333333x + -0.8333333333 + x2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + -1.333333333x + x2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + -1.333333333x + x2 = 0 + -0.8333333333 -1.333333333x + x2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 -1.333333333x + x2 = -0.8333333333 The x term is -1.333333333x. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x + 0.4444444442 + x2 = -0.8333333333 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -0.8333333333 + 0.4444444442 Combine like terms: -0.8333333333 + 0.4444444442 = -0.3888888891 0.4444444442 + -1.333333333x + x2 = -0.3888888891 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -0.3888888891 Can't calculate square root of the right side. The solution to this equation could not be determined.
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