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Simplifying 3c + (6b + -21)(5b + -52) = 90 Reorder the terms: 3c + (-21 + 6b)(5b + -52) = 90 Reorder the terms: 3c + (-21 + 6b)(-52 + 5b) = 90 Multiply (-21 + 6b) * (-52 + 5b) 3c + (-21(-52 + 5b) + 6b * (-52 + 5b)) = 90 3c + ((-52 * -21 + 5b * -21) + 6b * (-52 + 5b)) = 90 3c + ((1092 + -105b) + 6b * (-52 + 5b)) = 90 3c + (1092 + -105b + (-52 * 6b + 5b * 6b)) = 90 3c + (1092 + -105b + (-312b + 30b2)) = 90 Combine like terms: -105b + -312b = -417b 3c + (1092 + -417b + 30b2) = 90 Reorder the terms: 1092 + -417b + 30b2 + 3c = 90 Solving 1092 + -417b + 30b2 + 3c = 90 Solving for variable 'b'. Reorder the terms: 1092 + -90 + -417b + 30b2 + 3c = 90 + -90 Combine like terms: 1092 + -90 = 1002 1002 + -417b + 30b2 + 3c = 90 + -90 Combine like terms: 90 + -90 = 0 1002 + -417b + 30b2 + 3c = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(334 + -139b + 10b2 + c) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(334 + -139b + 10b2 + c)' equal to zero and attempt to solve: Simplifying 334 + -139b + 10b2 + c = 0 Solving 334 + -139b + 10b2 + c = 0 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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