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Simplifying (3x2 + x + 1) + -1(2x2 + -6 + -5) = 0 Reorder the terms: (1 + x + 3x2) + -1(2x2 + -6 + -5) = 0 Remove parenthesis around (1 + x + 3x2) 1 + x + 3x2 + -1(2x2 + -6 + -5) = 0 Reorder the terms: 1 + x + 3x2 + -1(-6 + -5 + 2x2) = 0 Combine like terms: -6 + -5 = -11 1 + x + 3x2 + -1(-11 + 2x2) = 0 1 + x + 3x2 + (-11 * -1 + 2x2 * -1) = 0 1 + x + 3x2 + (11 + -2x2) = 0 Reorder the terms: 1 + 11 + x + 3x2 + -2x2 = 0 Combine like terms: 1 + 11 = 12 12 + x + 3x2 + -2x2 = 0 Combine like terms: 3x2 + -2x2 = 1x2 12 + x + 1x2 = 0 Solving 12 + x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x + x2 = 0 + -12 x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 x + x2 = -12 The x term is x. 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. x + 0.25 + x2 = -12 + 0.25 Reorder the terms: 0.25 + x + x2 = -12 + 0.25 Combine like terms: -12 + 0.25 = -11.75 0.25 + x + x2 = -11.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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