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Simplifying (1x2 + 3x + -2) + (4x2 + -2x + 3) = 0 Reorder the terms: (-2 + 3x + 1x2) + (4x2 + -2x + 3) = 0 Remove parenthesis around (-2 + 3x + 1x2) -2 + 3x + 1x2 + (4x2 + -2x + 3) = 0 Reorder the terms: -2 + 3x + 1x2 + (3 + -2x + 4x2) = 0 Remove parenthesis around (3 + -2x + 4x2) -2 + 3x + 1x2 + 3 + -2x + 4x2 = 0 Reorder the terms: -2 + 3 + 3x + -2x + 1x2 + 4x2 = 0 Combine like terms: -2 + 3 = 1 1 + 3x + -2x + 1x2 + 4x2 = 0 Combine like terms: 3x + -2x = 1x 1 + 1x + 1x2 + 4x2 = 0 Combine like terms: 1x2 + 4x2 = 5x2 1 + 1x + 5x2 = 0 Solving 1 + 1x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.2 + 0.2x + x2 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + 0.2x + -0.2 + x2 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + 0.2x + x2 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.2x + x2 = 0 + -0.2 0.2x + x2 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 0.2x + x2 = -0.2 The x term is 0.2x. Take half its coefficient (0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. 0.2x + 0.01 + x2 = -0.2 + 0.01 Reorder the terms: 0.01 + 0.2x + x2 = -0.2 + 0.01 Combine like terms: -0.2 + 0.01 = -0.19 0.01 + 0.2x + x2 = -0.19 Factor a perfect square on the left side: (x + 0.1)(x + 0.1) = -0.19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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