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Simplifying (8x2 + 6x + 7) + (8x2 + 9x) = 0 Reorder the terms: (7 + 6x + 8x2) + (8x2 + 9x) = 0 Remove parenthesis around (7 + 6x + 8x2) 7 + 6x + 8x2 + (8x2 + 9x) = 0 Reorder the terms: 7 + 6x + 8x2 + (9x + 8x2) = 0 Remove parenthesis around (9x + 8x2) 7 + 6x + 8x2 + 9x + 8x2 = 0 Reorder the terms: 7 + 6x + 9x + 8x2 + 8x2 = 0 Combine like terms: 6x + 9x = 15x 7 + 15x + 8x2 + 8x2 = 0 Combine like terms: 8x2 + 8x2 = 16x2 7 + 15x + 16x2 = 0 Solving 7 + 15x + 16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.4375 + 0.9375x + x2 = 0 Move the constant term to the right: Add '-0.4375' to each side of the equation. 0.4375 + 0.9375x + -0.4375 + x2 = 0 + -0.4375 Reorder the terms: 0.4375 + -0.4375 + 0.9375x + x2 = 0 + -0.4375 Combine like terms: 0.4375 + -0.4375 = 0.0000 0.0000 + 0.9375x + x2 = 0 + -0.4375 0.9375x + x2 = 0 + -0.4375 Combine like terms: 0 + -0.4375 = -0.4375 0.9375x + x2 = -0.4375 The x term is 0.9375x. Take half its coefficient (0.46875). Square it (0.2197265625) and add it to both sides. Add '0.2197265625' to each side of the equation. 0.9375x + 0.2197265625 + x2 = -0.4375 + 0.2197265625 Reorder the terms: 0.2197265625 + 0.9375x + x2 = -0.4375 + 0.2197265625 Combine like terms: -0.4375 + 0.2197265625 = -0.2177734375 0.2197265625 + 0.9375x + x2 = -0.2177734375 Factor a perfect square on the left side: (x + 0.46875)(x + 0.46875) = -0.2177734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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