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Simplifying x(-9x) + 5x = 2 Remove parenthesis around (-9x) x * -9x + 5x = 2 Reorder the terms for easier multiplication: -9x * x + 5x = 2 Multiply x * x -9x2 + 5x = 2 Reorder the terms: 5x + -9x2 = 2 Solving 5x + -9x2 = 2 Solving for variable 'x'. Reorder the terms: -2 + 5x + -9x2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 5x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 0.2222222222 + -0.5555555556x + x2 = 0 Move the constant term to the right: Add '-0.2222222222' to each side of the equation. 0.2222222222 + -0.5555555556x + -0.2222222222 + x2 = 0 + -0.2222222222 Reorder the terms: 0.2222222222 + -0.2222222222 + -0.5555555556x + x2 = 0 + -0.2222222222 Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000 0.0000000000 + -0.5555555556x + x2 = 0 + -0.2222222222 -0.5555555556x + x2 = 0 + -0.2222222222 Combine like terms: 0 + -0.2222222222 = -0.2222222222 -0.5555555556x + x2 = -0.2222222222 The x term is -0.5555555556x. Take half its coefficient (-0.2777777778). Square it (0.07716049384) and add it to both sides. Add '0.07716049384' to each side of the equation. -0.5555555556x + 0.07716049384 + x2 = -0.2222222222 + 0.07716049384 Reorder the terms: 0.07716049384 + -0.5555555556x + x2 = -0.2222222222 + 0.07716049384 Combine like terms: -0.2222222222 + 0.07716049384 = -0.14506172836 0.07716049384 + -0.5555555556x + x2 = -0.14506172836 Factor a perfect square on the left side: (x + -0.2777777778)(x + -0.2777777778) = -0.14506172836 Can't calculate square root of the right side. The solution to this equation could not be determined.
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