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Simplifying 5x2 + 9 = 2x2 + 4x Reorder the terms: 9 + 5x2 = 2x2 + 4x Reorder the terms: 9 + 5x2 = 4x + 2x2 Solving 9 + 5x2 = 4x + 2x2 Solving for variable 'x'. Reorder the terms: 9 + -4x + 5x2 + -2x2 = 4x + 2x2 + -4x + -2x2 Combine like terms: 5x2 + -2x2 = 3x2 9 + -4x + 3x2 = 4x + 2x2 + -4x + -2x2 Reorder the terms: 9 + -4x + 3x2 = 4x + -4x + 2x2 + -2x2 Combine like terms: 4x + -4x = 0 9 + -4x + 3x2 = 0 + 2x2 + -2x2 9 + -4x + 3x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 9 + -4x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1.333333333x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -1.333333333x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.333333333x + x2 = 0 + -3 -1.333333333x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1.333333333x + x2 = -3 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 = -3 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -3 + 0.4444444442 Combine like terms: -3 + 0.4444444442 = -2.5555555558 0.4444444442 + -1.333333333x + x2 = -2.5555555558 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -2.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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