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Simplifying (2x2 + 5x + -4) + (3x2 + -2x + 7) = 0 Reorder the terms: (-4 + 5x + 2x2) + (3x2 + -2x + 7) = 0 Remove parenthesis around (-4 + 5x + 2x2) -4 + 5x + 2x2 + (3x2 + -2x + 7) = 0 Reorder the terms: -4 + 5x + 2x2 + (7 + -2x + 3x2) = 0 Remove parenthesis around (7 + -2x + 3x2) -4 + 5x + 2x2 + 7 + -2x + 3x2 = 0 Reorder the terms: -4 + 7 + 5x + -2x + 2x2 + 3x2 = 0 Combine like terms: -4 + 7 = 3 3 + 5x + -2x + 2x2 + 3x2 = 0 Combine like terms: 5x + -2x = 3x 3 + 3x + 2x2 + 3x2 = 0 Combine like terms: 2x2 + 3x2 = 5x2 3 + 3x + 5x2 = 0 Solving 3 + 3x + 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'. 0.6 + 0.6x + x2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + 0.6x + -0.6 + x2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + 0.6x + x2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.6x + x2 = 0 + -0.6 0.6x + x2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 0.6x + x2 = -0.6 The x term is 0.6x. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6x + 0.09 + x2 = -0.6 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -0.6 + 0.09 Combine like terms: -0.6 + 0.09 = -0.51 0.09 + 0.6x + x2 = -0.51 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -0.51 Can't calculate square root of the right side. The solution to this equation could not be determined.
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