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Simplifying (9x + 7x2 + -12) + (14 + -6x + -2x2) = 0 Reorder the terms: (-12 + 9x + 7x2) + (14 + -6x + -2x2) = 0 Remove parenthesis around (-12 + 9x + 7x2) -12 + 9x + 7x2 + (14 + -6x + -2x2) = 0 Remove parenthesis around (14 + -6x + -2x2) -12 + 9x + 7x2 + 14 + -6x + -2x2 = 0 Reorder the terms: -12 + 14 + 9x + -6x + 7x2 + -2x2 = 0 Combine like terms: -12 + 14 = 2 2 + 9x + -6x + 7x2 + -2x2 = 0 Combine like terms: 9x + -6x = 3x 2 + 3x + 7x2 + -2x2 = 0 Combine like terms: 7x2 + -2x2 = 5x2 2 + 3x + 5x2 = 0 Solving 2 + 3x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + 0.6x + x2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.6x + -0.4 + x2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.6x + x2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.6x + x2 = 0 + -0.4 0.6x + x2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.6x + x2 = -0.4 The x term is 0.6x. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6x + 0.09 + x2 = -0.4 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -0.4 + 0.09 Combine like terms: -0.4 + 0.09 = -0.31 0.09 + 0.6x + x2 = -0.31 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -0.31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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