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Simplifying (7 + -1b3)(7 + -1b3) = 0 Multiply (7 + -1b3) * (7 + -1b3) (7(7 + -1b3) + -1b3 * (7 + -1b3)) = 0 ((7 * 7 + -1b3 * 7) + -1b3 * (7 + -1b3)) = 0 ((49 + -7b3) + -1b3 * (7 + -1b3)) = 0 (49 + -7b3 + (7 * -1b3 + -1b3 * -1b3)) = 0 (49 + -7b3 + (-7b3 + 1b6)) = 0 Combine like terms: -7b3 + -7b3 = -14b3 (49 + -14b3 + 1b6) = 0 Solving 49 + -14b3 + 1b6 = 0 Solving for variable 'b'. Factor a trinomial. (7 + -1b3)(7 + -1b3) = 0Subproblem 1
Set the factor '(7 + -1b3)' equal to zero and attempt to solve: Simplifying 7 + -1b3 = 0 Solving 7 + -1b3 = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1b3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1b3 = 0 + -7 -1b3 = 0 + -7 Combine like terms: 0 + -7 = -7 -1b3 = -7 Divide each side by '-1'. b3 = 7 Simplifying b3 = 7 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 '(7 + -1b3)' equal to zero and attempt to solve: Simplifying 7 + -1b3 = 0 Solving 7 + -1b3 = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1b3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1b3 = 0 + -7 -1b3 = 0 + -7 Combine like terms: 0 + -7 = -7 -1b3 = -7 Divide each side by '-1'. b3 = 7 Simplifying b3 = 7 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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