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Simplifying 9x2 + 12x = -4x2 + -4 Reorder the terms: 12x + 9x2 = -4x2 + -4 Reorder the terms: 12x + 9x2 = -4 + -4x2 Solving 12x + 9x2 = -4 + -4x2 Solving for variable 'x'. Reorder the terms: 4 + 12x + 9x2 + 4x2 = -4 + -4x2 + 4 + 4x2 Combine like terms: 9x2 + 4x2 = 13x2 4 + 12x + 13x2 = -4 + -4x2 + 4 + 4x2 Reorder the terms: 4 + 12x + 13x2 = -4 + 4 + -4x2 + 4x2 Combine like terms: -4 + 4 = 0 4 + 12x + 13x2 = 0 + -4x2 + 4x2 4 + 12x + 13x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 4 + 12x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.3076923077 + 0.9230769231x + x2 = 0 Move the constant term to the right: Add '-0.3076923077' to each side of the equation. 0.3076923077 + 0.9230769231x + -0.3076923077 + x2 = 0 + -0.3076923077 Reorder the terms: 0.3076923077 + -0.3076923077 + 0.9230769231x + x2 = 0 + -0.3076923077 Combine like terms: 0.3076923077 + -0.3076923077 = 0.0000000000 0.0000000000 + 0.9230769231x + x2 = 0 + -0.3076923077 0.9230769231x + x2 = 0 + -0.3076923077 Combine like terms: 0 + -0.3076923077 = -0.3076923077 0.9230769231x + x2 = -0.3076923077 The x term is 0.9230769231x. Take half its coefficient (0.4615384616). Square it (0.2130177515) and add it to both sides. Add '0.2130177515' to each side of the equation. 0.9230769231x + 0.2130177515 + x2 = -0.3076923077 + 0.2130177515 Reorder the terms: 0.2130177515 + 0.9230769231x + x2 = -0.3076923077 + 0.2130177515 Combine like terms: -0.3076923077 + 0.2130177515 = -0.0946745562 0.2130177515 + 0.9230769231x + x2 = -0.0946745562 Factor a perfect square on the left side: (x + 0.4615384616)(x + 0.4615384616) = -0.0946745562 Can't calculate square root of the right side. The solution to this equation could not be determined.
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