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Simplifying (6x2 + -4x + 7) + (-5x2 + 3x + 2) = 0 Reorder the terms: (7 + -4x + 6x2) + (-5x2 + 3x + 2) = 0 Remove parenthesis around (7 + -4x + 6x2) 7 + -4x + 6x2 + (-5x2 + 3x + 2) = 0 Reorder the terms: 7 + -4x + 6x2 + (2 + 3x + -5x2) = 0 Remove parenthesis around (2 + 3x + -5x2) 7 + -4x + 6x2 + 2 + 3x + -5x2 = 0 Reorder the terms: 7 + 2 + -4x + 3x + 6x2 + -5x2 = 0 Combine like terms: 7 + 2 = 9 9 + -4x + 3x + 6x2 + -5x2 = 0 Combine like terms: -4x + 3x = -1x 9 + -1x + 6x2 + -5x2 = 0 Combine like terms: 6x2 + -5x2 = 1x2 9 + -1x + 1x2 = 0 Solving 9 + -1x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -1x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -1x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x + x2 = 0 + -9 -1x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -1x + x2 = -9 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 = -9 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -9 + 0.25 Combine like terms: -9 + 0.25 = -8.75 0.25 + -1x + x2 = -8.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -8.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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