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Simplifying (9x2 + 2x + 7) + (4x2 + 7x + -2) = 0 Reorder the terms: (7 + 2x + 9x2) + (4x2 + 7x + -2) = 0 Remove parenthesis around (7 + 2x + 9x2) 7 + 2x + 9x2 + (4x2 + 7x + -2) = 0 Reorder the terms: 7 + 2x + 9x2 + (-2 + 7x + 4x2) = 0 Remove parenthesis around (-2 + 7x + 4x2) 7 + 2x + 9x2 + -2 + 7x + 4x2 = 0 Reorder the terms: 7 + -2 + 2x + 7x + 9x2 + 4x2 = 0 Combine like terms: 7 + -2 = 5 5 + 2x + 7x + 9x2 + 4x2 = 0 Combine like terms: 2x + 7x = 9x 5 + 9x + 9x2 + 4x2 = 0 Combine like terms: 9x2 + 4x2 = 13x2 5 + 9x + 13x2 = 0 Solving 5 + 9x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.3846153846 + 0.6923076923x + x2 = 0 Move the constant term to the right: Add '-0.3846153846' to each side of the equation. 0.3846153846 + 0.6923076923x + -0.3846153846 + x2 = 0 + -0.3846153846 Reorder the terms: 0.3846153846 + -0.3846153846 + 0.6923076923x + x2 = 0 + -0.3846153846 Combine like terms: 0.3846153846 + -0.3846153846 = 0.0000000000 0.0000000000 + 0.6923076923x + x2 = 0 + -0.3846153846 0.6923076923x + x2 = 0 + -0.3846153846 Combine like terms: 0 + -0.3846153846 = -0.3846153846 0.6923076923x + x2 = -0.3846153846 The x term is 0.6923076923x. Take half its coefficient (0.3461538462). Square it (0.1198224852) and add it to both sides. Add '0.1198224852' to each side of the equation. 0.6923076923x + 0.1198224852 + x2 = -0.3846153846 + 0.1198224852 Reorder the terms: 0.1198224852 + 0.6923076923x + x2 = -0.3846153846 + 0.1198224852 Combine like terms: -0.3846153846 + 0.1198224852 = -0.2647928994 0.1198224852 + 0.6923076923x + x2 = -0.2647928994 Factor a perfect square on the left side: (x + 0.3461538462)(x + 0.3461538462) = -0.2647928994 Can't calculate square root of the right side. The solution to this equation could not be determined.
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