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Simplifying Abs(-6 + -7i) = sqrt(85) (-6 * bsA + -7i * bsA) = sqrt(85) Reorder the terms: (-7bisA + -6bsA) = sqrt(85) (-7bisA + -6bsA) = sqrt(85) Reorder the terms for easier multiplication: -7bisA + -6bsA = 85qrst Solving -7bisA + -6bsA = 85qrst Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Combine like terms: 85qrst + -85qrst = 0 -7bisA + -6bsA + -85qrst = 0 Factor out the Greatest Common Factor (GCF), '-1s'. -1s(7biA + 6bA + 85qrt) = 0 Ignore the factor -1.Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing b to the left, all other terms to the right. Add '-1s' to each side of the equation. s + -1s = 0 + -1s Remove the zero: 0 = -1s Simplifying 0 = -1s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7biA + 6bA + 85qrt)' equal to zero and attempt to solve: Simplifying 7biA + 6bA + 85qrt = 0 Reorder the terms: 6bA + 7biA + 85qrt = 0 Solving 6bA + 7biA + 85qrt = 0 Move all terms containing b to the left, all other terms to the right. Add '-85qrt' to each side of the equation. 6bA + 7biA + 85qrt + -85qrt = 0 + -85qrt Combine like terms: 85qrt + -85qrt = 0 6bA + 7biA + 0 = 0 + -85qrt 6bA + 7biA = 0 + -85qrt Remove the zero: 6bA + 7biA = -85qrt The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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