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Simplifying (3x2 + -2x + 5) + -1(2x2 + -5x + 1) = 0 Reorder the terms: (5 + -2x + 3x2) + -1(2x2 + -5x + 1) = 0 Remove parenthesis around (5 + -2x + 3x2) 5 + -2x + 3x2 + -1(2x2 + -5x + 1) = 0 Reorder the terms: 5 + -2x + 3x2 + -1(1 + -5x + 2x2) = 0 5 + -2x + 3x2 + (1 * -1 + -5x * -1 + 2x2 * -1) = 0 5 + -2x + 3x2 + (-1 + 5x + -2x2) = 0 Reorder the terms: 5 + -1 + -2x + 5x + 3x2 + -2x2 = 0 Combine like terms: 5 + -1 = 4 4 + -2x + 5x + 3x2 + -2x2 = 0 Combine like terms: -2x + 5x = 3x 4 + 3x + 3x2 + -2x2 = 0 Combine like terms: 3x2 + -2x2 = 1x2 4 + 3x + 1x2 = 0 Solving 4 + 3x + 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 + 3x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 3x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x + x2 = 0 + -4 3x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3x + x2 = -4 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -4 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -4 + 2.25 Combine like terms: -4 + 2.25 = -1.75 2.25 + 3x + x2 = -1.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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