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Simplifying 2x + -3 + 2x + -3 + 12 + 2x + -1x2 = 78 Reorder the terms: -3 + -3 + 12 + 2x + 2x + 2x + -1x2 = 78 Combine like terms: -3 + -3 = -6 -6 + 12 + 2x + 2x + 2x + -1x2 = 78 Combine like terms: -6 + 12 = 6 6 + 2x + 2x + 2x + -1x2 = 78 Combine like terms: 2x + 2x = 4x 6 + 4x + 2x + -1x2 = 78 Combine like terms: 4x + 2x = 6x 6 + 6x + -1x2 = 78 Solving 6 + 6x + -1x2 = 78 Solving for variable 'x'. Reorder the terms: 6 + -78 + 6x + -1x2 = 78 + -78 Combine like terms: 6 + -78 = -72 -72 + 6x + -1x2 = 78 + -78 Combine like terms: 78 + -78 = 0 -72 + 6x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 72 + -6x + x2 = 0 Move the constant term to the right: Add '-72' to each side of the equation. 72 + -6x + -72 + x2 = 0 + -72 Reorder the terms: 72 + -72 + -6x + x2 = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -6x + x2 = 0 + -72 -6x + x2 = 0 + -72 Combine like terms: 0 + -72 = -72 -6x + x2 = -72 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -72 + 9 Reorder the terms: 9 + -6x + x2 = -72 + 9 Combine like terms: -72 + 9 = -63 9 + -6x + x2 = -63 Factor a perfect square on the left side: (x + -3)(x + -3) = -63 Can't calculate square root of the right side. The solution to this equation could not be determined.
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