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Simplifying (6z2 + -8z + -4) + -1(-7z2 + -7z + -9) = 0 Reorder the terms: (-4 + -8z + 6z2) + -1(-7z2 + -7z + -9) = 0 Remove parenthesis around (-4 + -8z + 6z2) -4 + -8z + 6z2 + -1(-7z2 + -7z + -9) = 0 Reorder the terms: -4 + -8z + 6z2 + -1(-9 + -7z + -7z2) = 0 -4 + -8z + 6z2 + (-9 * -1 + -7z * -1 + -7z2 * -1) = 0 -4 + -8z + 6z2 + (9 + 7z + 7z2) = 0 Reorder the terms: -4 + 9 + -8z + 7z + 6z2 + 7z2 = 0 Combine like terms: -4 + 9 = 5 5 + -8z + 7z + 6z2 + 7z2 = 0 Combine like terms: -8z + 7z = -1z 5 + -1z + 6z2 + 7z2 = 0 Combine like terms: 6z2 + 7z2 = 13z2 5 + -1z + 13z2 = 0 Solving 5 + -1z + 13z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.3846153846 + -0.07692307692z + z2 = 0 Move the constant term to the right: Add '-0.3846153846' to each side of the equation. 0.3846153846 + -0.07692307692z + -0.3846153846 + z2 = 0 + -0.3846153846 Reorder the terms: 0.3846153846 + -0.3846153846 + -0.07692307692z + z2 = 0 + -0.3846153846 Combine like terms: 0.3846153846 + -0.3846153846 = 0.0000000000 0.0000000000 + -0.07692307692z + z2 = 0 + -0.3846153846 -0.07692307692z + z2 = 0 + -0.3846153846 Combine like terms: 0 + -0.3846153846 = -0.3846153846 -0.07692307692z + z2 = -0.3846153846 The z term is -0.07692307692z. Take half its coefficient (-0.03846153846). Square it (0.001479289941) and add it to both sides. Add '0.001479289941' to each side of the equation. -0.07692307692z + 0.001479289941 + z2 = -0.3846153846 + 0.001479289941 Reorder the terms: 0.001479289941 + -0.07692307692z + z2 = -0.3846153846 + 0.001479289941 Combine like terms: -0.3846153846 + 0.001479289941 = -0.383136094659 0.001479289941 + -0.07692307692z + z2 = -0.383136094659 Factor a perfect square on the left side: (z + -0.03846153846)(z + -0.03846153846) = -0.383136094659 Can't calculate square root of the right side. The solution to this equation could not be determined.
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