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Simplifying (9x2 + -4x + 5) + -1(2x2 + 3) = 0 Reorder the terms: (5 + -4x + 9x2) + -1(2x2 + 3) = 0 Remove parenthesis around (5 + -4x + 9x2) 5 + -4x + 9x2 + -1(2x2 + 3) = 0 Reorder the terms: 5 + -4x + 9x2 + -1(3 + 2x2) = 0 5 + -4x + 9x2 + (3 * -1 + 2x2 * -1) = 0 5 + -4x + 9x2 + (-3 + -2x2) = 0 Reorder the terms: 5 + -3 + -4x + 9x2 + -2x2 = 0 Combine like terms: 5 + -3 = 2 2 + -4x + 9x2 + -2x2 = 0 Combine like terms: 9x2 + -2x2 = 7x2 2 + -4x + 7x2 = 0 Solving 2 + -4x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.2857142857 + -0.5714285714x + x2 = 0 Move the constant term to the right: Add '-0.2857142857' to each side of the equation. 0.2857142857 + -0.5714285714x + -0.2857142857 + x2 = 0 + -0.2857142857 Reorder the terms: 0.2857142857 + -0.2857142857 + -0.5714285714x + x2 = 0 + -0.2857142857 Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000 0.0000000000 + -0.5714285714x + x2 = 0 + -0.2857142857 -0.5714285714x + x2 = 0 + -0.2857142857 Combine like terms: 0 + -0.2857142857 = -0.2857142857 -0.5714285714x + x2 = -0.2857142857 The x term is -0.5714285714x. Take half its coefficient (-0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. -0.5714285714x + 0.08163265305 + x2 = -0.2857142857 + 0.08163265305 Reorder the terms: 0.08163265305 + -0.5714285714x + x2 = -0.2857142857 + 0.08163265305 Combine like terms: -0.2857142857 + 0.08163265305 = -0.20408163265 0.08163265305 + -0.5714285714x + x2 = -0.20408163265 Factor a perfect square on the left side: (x + -0.2857142857)(x + -0.2857142857) = -0.20408163265 Can't calculate square root of the right side. The solution to this equation could not be determined.
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