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Simplifying (7x2 + -14x + 25) + (3x2 + 3x + -4) = 0 Reorder the terms: (25 + -14x + 7x2) + (3x2 + 3x + -4) = 0 Remove parenthesis around (25 + -14x + 7x2) 25 + -14x + 7x2 + (3x2 + 3x + -4) = 0 Reorder the terms: 25 + -14x + 7x2 + (-4 + 3x + 3x2) = 0 Remove parenthesis around (-4 + 3x + 3x2) 25 + -14x + 7x2 + -4 + 3x + 3x2 = 0 Reorder the terms: 25 + -4 + -14x + 3x + 7x2 + 3x2 = 0 Combine like terms: 25 + -4 = 21 21 + -14x + 3x + 7x2 + 3x2 = 0 Combine like terms: -14x + 3x = -11x 21 + -11x + 7x2 + 3x2 = 0 Combine like terms: 7x2 + 3x2 = 10x2 21 + -11x + 10x2 = 0 Solving 21 + -11x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 2.1 + -1.1x + x2 = 0.0 Move the constant term to the right: Add '-2.1' to each side of the equation. 2.1 + -1.1x + -2.1 + x2 = 0.0 + -2.1 Reorder the terms: 2.1 + -2.1 + -1.1x + x2 = 0.0 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -1.1x + x2 = 0.0 + -2.1 -1.1x + x2 = 0.0 + -2.1 Combine like terms: 0.0 + -2.1 = -2.1 -1.1x + x2 = -2.1 The x term is -1.1x. Take half its coefficient (-0.55). Square it (0.3025) and add it to both sides. Add '0.3025' to each side of the equation. -1.1x + 0.3025 + x2 = -2.1 + 0.3025 Reorder the terms: 0.3025 + -1.1x + x2 = -2.1 + 0.3025 Combine like terms: -2.1 + 0.3025 = -1.7975 0.3025 + -1.1x + x2 = -1.7975 Factor a perfect square on the left side: (x + -0.55)(x + -0.55) = -1.7975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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