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Simplifying (2x2 + -8x) + -1(4x2 + -12x + 9) = 0 Reorder the terms: (-8x + 2x2) + -1(4x2 + -12x + 9) = 0 Remove parenthesis around (-8x + 2x2) -8x + 2x2 + -1(4x2 + -12x + 9) = 0 Reorder the terms: -8x + 2x2 + -1(9 + -12x + 4x2) = 0 -8x + 2x2 + (9 * -1 + -12x * -1 + 4x2 * -1) = 0 -8x + 2x2 + (-9 + 12x + -4x2) = 0 Reorder the terms: -9 + -8x + 12x + 2x2 + -4x2 = 0 Combine like terms: -8x + 12x = 4x -9 + 4x + 2x2 + -4x2 = 0 Combine like terms: 2x2 + -4x2 = -2x2 -9 + 4x + -2x2 = 0 Solving -9 + 4x + -2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 4.5 + -2x + x2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + -2x + -4.5 + x2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + -2x + x2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -2x + x2 = 0 + -4.5 -2x + x2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -2x + x2 = -4.5 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -4.5 + 1 Reorder the terms: 1 + -2x + x2 = -4.5 + 1 Combine like terms: -4.5 + 1 = -3.5 1 + -2x + x2 = -3.5 Factor a perfect square on the left side: (x + -1)(x + -1) = -3.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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