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Simplifying (8x2 + -4x + 14) + (-7x2 + 3x + -10) = 0 Reorder the terms: (14 + -4x + 8x2) + (-7x2 + 3x + -10) = 0 Remove parenthesis around (14 + -4x + 8x2) 14 + -4x + 8x2 + (-7x2 + 3x + -10) = 0 Reorder the terms: 14 + -4x + 8x2 + (-10 + 3x + -7x2) = 0 Remove parenthesis around (-10 + 3x + -7x2) 14 + -4x + 8x2 + -10 + 3x + -7x2 = 0 Reorder the terms: 14 + -10 + -4x + 3x + 8x2 + -7x2 = 0 Combine like terms: 14 + -10 = 4 4 + -4x + 3x + 8x2 + -7x2 = 0 Combine like terms: -4x + 3x = -1x 4 + -1x + 8x2 + -7x2 = 0 Combine like terms: 8x2 + -7x2 = 1x2 4 + -1x + 1x2 = 0 Solving 4 + -1x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -1x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -1x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x + x2 = 0 + -4 -1x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1x + x2 = -4 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -4 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -4 + 0.25 Combine like terms: -4 + 0.25 = -3.75 0.25 + -1x + x2 = -3.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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