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Simplifying 3(3x + 4) = -1x(x + -3) Reorder the terms: 3(4 + 3x) = -1x(x + -3) (4 * 3 + 3x * 3) = -1x(x + -3) (12 + 9x) = -1x(x + -3) Reorder the terms: 12 + 9x = -1x(-3 + x) 12 + 9x = (-3 * -1x + x * -1x) 12 + 9x = (3x + -1x2) Solving 12 + 9x = 3x + -1x2 Solving for variable 'x'. Combine like terms: 9x + -3x = 6x 12 + 6x + x2 = 3x + -1x2 + -3x + x2 Reorder the terms: 12 + 6x + x2 = 3x + -3x + -1x2 + x2 Combine like terms: 3x + -3x = 0 12 + 6x + x2 = 0 + -1x2 + x2 12 + 6x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 12 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 6x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 6x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6x + x2 = 0 + -12 6x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 6x + x2 = -12 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 = -12 + 9 Reorder the terms: 9 + 6x + x2 = -12 + 9 Combine like terms: -12 + 9 = -3 9 + 6x + x2 = -3 Factor a perfect square on the left side: (x + 3)(x + 3) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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