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