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Simplifying 9x2 + -6x + 4 + -1(8x2 + -1x + -12) = 0 Reorder the terms: 9x2 + -6x + 4 + -1(-12 + -1x + 8x2) = 0 9x2 + -6x + 4 + (-12 * -1 + -1x * -1 + 8x2 * -1) = 0 9x2 + -6x + 4 + (12 + 1x + -8x2) = 0 Reorder the terms: 4 + 12 + -6x + 1x + 9x2 + -8x2 = 0 Combine like terms: 4 + 12 = 16 16 + -6x + 1x + 9x2 + -8x2 = 0 Combine like terms: -6x + 1x = -5x 16 + -5x + 9x2 + -8x2 = 0 Combine like terms: 9x2 + -8x2 = 1x2 16 + -5x + 1x2 = 0 Solving 16 + -5x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + -5x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + -5x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -5x + x2 = 0 + -16 -5x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -5x + x2 = -16 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -16 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -16 + 6.25 Combine like terms: -16 + 6.25 = -9.75 6.25 + -5x + x2 = -9.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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