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Simplifying (4x2 + -3x + 2) + -1(2x2 + 5x + -7) = 0 Reorder the terms: (2 + -3x + 4x2) + -1(2x2 + 5x + -7) = 0 Remove parenthesis around (2 + -3x + 4x2) 2 + -3x + 4x2 + -1(2x2 + 5x + -7) = 0 Reorder the terms: 2 + -3x + 4x2 + -1(-7 + 5x + 2x2) = 0 2 + -3x + 4x2 + (-7 * -1 + 5x * -1 + 2x2 * -1) = 0 2 + -3x + 4x2 + (7 + -5x + -2x2) = 0 Reorder the terms: 2 + 7 + -3x + -5x + 4x2 + -2x2 = 0 Combine like terms: 2 + 7 = 9 9 + -3x + -5x + 4x2 + -2x2 = 0 Combine like terms: -3x + -5x = -8x 9 + -8x + 4x2 + -2x2 = 0 Combine like terms: 4x2 + -2x2 = 2x2 9 + -8x + 2x2 = 0 Solving 9 + -8x + 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 + -4x + x2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + -4x + -4.5 + x2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + -4x + x2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -4x + x2 = 0 + -4.5 -4x + x2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -4x + x2 = -4.5 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -4.5 + 4 Reorder the terms: 4 + -4x + x2 = -4.5 + 4 Combine like terms: -4.5 + 4 = -0.5 4 + -4x + x2 = -0.5 Factor a perfect square on the left side: (x + -2)(x + -2) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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