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Simplifying (-1x2 + 9x + -2) + -1(9x2 + -4x + 4) = 0 Reorder the terms: (-2 + 9x + -1x2) + -1(9x2 + -4x + 4) = 0 Remove parenthesis around (-2 + 9x + -1x2) -2 + 9x + -1x2 + -1(9x2 + -4x + 4) = 0 Reorder the terms: -2 + 9x + -1x2 + -1(4 + -4x + 9x2) = 0 -2 + 9x + -1x2 + (4 * -1 + -4x * -1 + 9x2 * -1) = 0 -2 + 9x + -1x2 + (-4 + 4x + -9x2) = 0 Reorder the terms: -2 + -4 + 9x + 4x + -1x2 + -9x2 = 0 Combine like terms: -2 + -4 = -6 -6 + 9x + 4x + -1x2 + -9x2 = 0 Combine like terms: 9x + 4x = 13x -6 + 13x + -1x2 + -9x2 = 0 Combine like terms: -1x2 + -9x2 = -10x2 -6 + 13x + -10x2 = 0 Solving -6 + 13x + -10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 0.6 + -1.3x + x2 = 0.0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + -1.3x + -0.6 + x2 = 0.0 + -0.6 Reorder the terms: 0.6 + -0.6 + -1.3x + x2 = 0.0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -1.3x + x2 = 0.0 + -0.6 -1.3x + x2 = 0.0 + -0.6 Combine like terms: 0.0 + -0.6 = -0.6 -1.3x + x2 = -0.6 The x term is -1.3x. Take half its coefficient (-0.65). Square it (0.4225) and add it to both sides. Add '0.4225' to each side of the equation. -1.3x + 0.4225 + x2 = -0.6 + 0.4225 Reorder the terms: 0.4225 + -1.3x + x2 = -0.6 + 0.4225 Combine like terms: -0.6 + 0.4225 = -0.1775 0.4225 + -1.3x + x2 = -0.1775 Factor a perfect square on the left side: (x + -0.65)(x + -0.65) = -0.1775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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