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Simplifying x2 + 17 = 2(3x + -2) Reorder the terms: 17 + x2 = 2(3x + -2) Reorder the terms: 17 + x2 = 2(-2 + 3x) 17 + x2 = (-2 * 2 + 3x * 2) 17 + x2 = (-4 + 6x) Solving 17 + x2 = -4 + 6x Solving for variable 'x'. Reorder the terms: 17 + 4 + -6x + x2 = -4 + 6x + 4 + -6x Combine like terms: 17 + 4 = 21 21 + -6x + x2 = -4 + 6x + 4 + -6x Reorder the terms: 21 + -6x + x2 = -4 + 4 + 6x + -6x Combine like terms: -4 + 4 = 0 21 + -6x + x2 = 0 + 6x + -6x 21 + -6x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 21 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + -6x + -21 + x2 = 0 + -21 Reorder the terms: 21 + -21 + -6x + x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -6x + x2 = 0 + -21 -6x + x2 = 0 + -21 Combine like terms: 0 + -21 = -21 -6x + x2 = -21 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 = -21 + 9 Reorder the terms: 9 + -6x + x2 = -21 + 9 Combine like terms: -21 + 9 = -12 9 + -6x + x2 = -12 Factor a perfect square on the left side: (x + -3)(x + -3) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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