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Simplifying (6x2) = -1(7x2) + 7x + -3 Remove parenthesis around (7x2) (6x2) = -1 * 7x2 + 7x + -3 Multiply -1 * 7 (6x2) = -7x2 + 7x + -3 Reorder the terms: (6x2) = -3 + 7x + -7x2 Solving (6x2) = -3 + 7x + -7x2 Solving for variable 'x'. Reorder the terms: 3 + -7x + (6x2) + 7x2 = -3 + 7x + -7x2 + 3 + -7x + 7x2 Combine like terms: (6x2) + 7x2 = 13x2 3 + -7x + 13x2 = -3 + 7x + -7x2 + 3 + -7x + 7x2 Reorder the terms: 3 + -7x + 13x2 = -3 + 3 + 7x + -7x + -7x2 + 7x2 Combine like terms: -3 + 3 = 0 3 + -7x + 13x2 = 0 + 7x + -7x + -7x2 + 7x2 3 + -7x + 13x2 = 7x + -7x + -7x2 + 7x2 Combine like terms: 7x + -7x = 0 3 + -7x + 13x2 = 0 + -7x2 + 7x2 3 + -7x + 13x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 3 + -7x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.2307692308 + -0.5384615385x + x2 = 0 Move the constant term to the right: Add '-0.2307692308' to each side of the equation. 0.2307692308 + -0.5384615385x + -0.2307692308 + x2 = 0 + -0.2307692308 Reorder the terms: 0.2307692308 + -0.2307692308 + -0.5384615385x + x2 = 0 + -0.2307692308 Combine like terms: 0.2307692308 + -0.2307692308 = 0.0000000000 0.0000000000 + -0.5384615385x + x2 = 0 + -0.2307692308 -0.5384615385x + x2 = 0 + -0.2307692308 Combine like terms: 0 + -0.2307692308 = -0.2307692308 -0.5384615385x + x2 = -0.2307692308 The x term is -0.5384615385x. Take half its coefficient (-0.2692307693). Square it (0.07248520714) and add it to both sides. Add '0.07248520714' to each side of the equation. -0.5384615385x + 0.07248520714 + x2 = -0.2307692308 + 0.07248520714 Reorder the terms: 0.07248520714 + -0.5384615385x + x2 = -0.2307692308 + 0.07248520714 Combine like terms: -0.2307692308 + 0.07248520714 = -0.15828402366 0.07248520714 + -0.5384615385x + x2 = -0.15828402366 Factor a perfect square on the left side: (x + -0.2692307693)(x + -0.2692307693) = -0.15828402366 Can't calculate square root of the right side. The solution to this equation could not be determined.
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