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Simplifying (6x2 + -3x + 2) + -1(4x2 + x + -3) = 0 Reorder the terms: (2 + -3x + 6x2) + -1(4x2 + x + -3) = 0 Remove parenthesis around (2 + -3x + 6x2) 2 + -3x + 6x2 + -1(4x2 + x + -3) = 0 Reorder the terms: 2 + -3x + 6x2 + -1(-3 + x + 4x2) = 0 2 + -3x + 6x2 + (-3 * -1 + x * -1 + 4x2 * -1) = 0 2 + -3x + 6x2 + (3 + -1x + -4x2) = 0 Reorder the terms: 2 + 3 + -3x + -1x + 6x2 + -4x2 = 0 Combine like terms: 2 + 3 = 5 5 + -3x + -1x + 6x2 + -4x2 = 0 Combine like terms: -3x + -1x = -4x 5 + -4x + 6x2 + -4x2 = 0 Combine like terms: 6x2 + -4x2 = 2x2 5 + -4x + 2x2 = 0 Solving 5 + -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'. 2.5 + -2x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -2x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -2x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -2x + x2 = 0 + -2.5 -2x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -2x + x2 = -2.5 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 = -2.5 + 1 Reorder the terms: 1 + -2x + x2 = -2.5 + 1 Combine like terms: -2.5 + 1 = -1.5 1 + -2x + x2 = -1.5 Factor a perfect square on the left side: (x + -1)(x + -1) = -1.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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