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Simplifying (5x2 + 3x + 4) + (2x2 + -6x + 3) = 0 Reorder the terms: (4 + 3x + 5x2) + (2x2 + -6x + 3) = 0 Remove parenthesis around (4 + 3x + 5x2) 4 + 3x + 5x2 + (2x2 + -6x + 3) = 0 Reorder the terms: 4 + 3x + 5x2 + (3 + -6x + 2x2) = 0 Remove parenthesis around (3 + -6x + 2x2) 4 + 3x + 5x2 + 3 + -6x + 2x2 = 0 Reorder the terms: 4 + 3 + 3x + -6x + 5x2 + 2x2 = 0 Combine like terms: 4 + 3 = 7 7 + 3x + -6x + 5x2 + 2x2 = 0 Combine like terms: 3x + -6x = -3x 7 + -3x + 5x2 + 2x2 = 0 Combine like terms: 5x2 + 2x2 = 7x2 7 + -3x + 7x2 = 0 Solving 7 + -3x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1 + -0.4285714286x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.4285714286x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.4285714286x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.4285714286x + x2 = 0 + -1 -0.4285714286x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.4285714286x + x2 = -1 The x term is -0.4285714286x. Take half its coefficient (-0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. -0.4285714286x + 0.04591836735 + x2 = -1 + 0.04591836735 Reorder the terms: 0.04591836735 + -0.4285714286x + x2 = -1 + 0.04591836735 Combine like terms: -1 + 0.04591836735 = -0.95408163265 0.04591836735 + -0.4285714286x + x2 = -0.95408163265 Factor a perfect square on the left side: (x + -0.2142857143)(x + -0.2142857143) = -0.95408163265 Can't calculate square root of the right side. The solution to this equation could not be determined.
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