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Simplifying (-9x2 + -1x + 2) + (4x2 + 2x + -7) = 0 Reorder the terms: (2 + -1x + -9x2) + (4x2 + 2x + -7) = 0 Remove parenthesis around (2 + -1x + -9x2) 2 + -1x + -9x2 + (4x2 + 2x + -7) = 0 Reorder the terms: 2 + -1x + -9x2 + (-7 + 2x + 4x2) = 0 Remove parenthesis around (-7 + 2x + 4x2) 2 + -1x + -9x2 + -7 + 2x + 4x2 = 0 Reorder the terms: 2 + -7 + -1x + 2x + -9x2 + 4x2 = 0 Combine like terms: 2 + -7 = -5 -5 + -1x + 2x + -9x2 + 4x2 = 0 Combine like terms: -1x + 2x = 1x -5 + 1x + -9x2 + 4x2 = 0 Combine like terms: -9x2 + 4x2 = -5x2 -5 + 1x + -5x2 = 0 Solving -5 + 1x + -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'. 1 + -0.2x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.2x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.2x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.2x + x2 = 0 + -1 -0.2x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.2x + x2 = -1 The x term is -0.2x. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2x + 0.01 + x2 = -1 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -1 + 0.01 Combine like terms: -1 + 0.01 = -0.99 0.01 + -0.2x + x2 = -0.99 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -0.99 Can't calculate square root of the right side. The solution to this equation could not be determined.
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