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Simplifying x2 + 22x = -84 + 10x Reorder the terms: 22x + x2 = -84 + 10x Solving 22x + x2 = -84 + 10x Solving for variable 'x'. Reorder the terms: 84 + 22x + -10x + x2 = -84 + 10x + 84 + -10x Combine like terms: 22x + -10x = 12x 84 + 12x + x2 = -84 + 10x + 84 + -10x Reorder the terms: 84 + 12x + x2 = -84 + 84 + 10x + -10x Combine like terms: -84 + 84 = 0 84 + 12x + x2 = 0 + 10x + -10x 84 + 12x + x2 = 10x + -10x Combine like terms: 10x + -10x = 0 84 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-84' to each side of the equation. 84 + 12x + -84 + x2 = 0 + -84 Reorder the terms: 84 + -84 + 12x + x2 = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 12x + x2 = 0 + -84 12x + x2 = 0 + -84 Combine like terms: 0 + -84 = -84 12x + x2 = -84 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -84 + 36 Reorder the terms: 36 + 12x + x2 = -84 + 36 Combine like terms: -84 + 36 = -48 36 + 12x + x2 = -48 Factor a perfect square on the left side: (x + 6)(x + 6) = -48 Can't calculate square root of the right side. The solution to this equation could not be determined.
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