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Simplifying 4x2 + 6x + -7 = 3x2 + 8x + -17 Reorder the terms: -7 + 6x + 4x2 = 3x2 + 8x + -17 Reorder the terms: -7 + 6x + 4x2 = -17 + 8x + 3x2 Solving -7 + 6x + 4x2 = -17 + 8x + 3x2 Solving for variable 'x'. Reorder the terms: -7 + 17 + 6x + -8x + 4x2 + -3x2 = -17 + 8x + 3x2 + 17 + -8x + -3x2 Combine like terms: -7 + 17 = 10 10 + 6x + -8x + 4x2 + -3x2 = -17 + 8x + 3x2 + 17 + -8x + -3x2 Combine like terms: 6x + -8x = -2x 10 + -2x + 4x2 + -3x2 = -17 + 8x + 3x2 + 17 + -8x + -3x2 Combine like terms: 4x2 + -3x2 = 1x2 10 + -2x + 1x2 = -17 + 8x + 3x2 + 17 + -8x + -3x2 Reorder the terms: 10 + -2x + 1x2 = -17 + 17 + 8x + -8x + 3x2 + -3x2 Combine like terms: -17 + 17 = 0 10 + -2x + 1x2 = 0 + 8x + -8x + 3x2 + -3x2 10 + -2x + 1x2 = 8x + -8x + 3x2 + -3x2 Combine like terms: 8x + -8x = 0 10 + -2x + 1x2 = 0 + 3x2 + -3x2 10 + -2x + 1x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 10 + -2x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -2x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -2x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2x + x2 = 0 + -10 -2x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -2x + x2 = -10 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -10 + 1 Reorder the terms: 1 + -2x + x2 = -10 + 1 Combine like terms: -10 + 1 = -9 1 + -2x + x2 = -9 Factor a perfect square on the left side: (x + -1)(x + -1) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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