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Simplifying 4x + -3x2 = 15 Solving 4x + -3x2 = 15 Solving for variable 'x'. Reorder the terms: -15 + 4x + -3x2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 4x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 5 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -1.333333333x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -1.333333333x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1.333333333x + x2 = 0 + -5 -1.333333333x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1.333333333x + x2 = -5 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 = -5 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -5 + 0.4444444442 Combine like terms: -5 + 0.4444444442 = -4.5555555558 0.4444444442 + -1.333333333x + x2 = -4.5555555558 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -4.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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