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Simplifying (5b2 + -7c3)(5b2 + 7c3) = 0 Multiply (5b2 + -7c3) * (5b2 + 7c3) (5b2 * (5b2 + 7c3) + -7c3 * (5b2 + 7c3)) = 0 ((5b2 * 5b2 + 7c3 * 5b2) + -7c3 * (5b2 + 7c3)) = 0 Reorder the terms: ((35b2c3 + 25b4) + -7c3 * (5b2 + 7c3)) = 0 ((35b2c3 + 25b4) + -7c3 * (5b2 + 7c3)) = 0 (35b2c3 + 25b4 + (5b2 * -7c3 + 7c3 * -7c3)) = 0 (35b2c3 + 25b4 + (-35b2c3 + -49c6)) = 0 Reorder the terms: (35b2c3 + -35b2c3 + 25b4 + -49c6) = 0 Combine like terms: 35b2c3 + -35b2c3 = 0 (0 + 25b4 + -49c6) = 0 (25b4 + -49c6) = 0 Solving 25b4 + -49c6 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '49c6' to each side of the equation. 25b4 + -49c6 + 49c6 = 0 + 49c6 Combine like terms: -49c6 + 49c6 = 0 25b4 + 0 = 0 + 49c6 25b4 = 0 + 49c6 Remove the zero: 25b4 = 49c6 Divide each side by '25'. b4 = 1.96c6 Simplifying b4 = 1.96c6 Combine like terms: 1.96c6 + -1.96c6 = 0.00 b4 + -1.96c6 = 0.00 Factor a difference between two squares. (b2 + 1.4c3)(b2 + -1.4c3) = 0.00Subproblem 1
Set the factor '(b2 + 1.4c3)' equal to zero and attempt to solve: Simplifying b2 + 1.4c3 = 0 Solving b2 + 1.4c3 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1.4c3' to each side of the equation. b2 + 1.4c3 + -1.4c3 = 0 + -1.4c3 Combine like terms: 1.4c3 + -1.4c3 = 0.0 b2 + 0.0 = 0 + -1.4c3 b2 = 0 + -1.4c3 Remove the zero: b2 = -1.4c3 Simplifying b2 = -1.4c3 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 '(b2 + -1.4c3)' equal to zero and attempt to solve: Simplifying b2 + -1.4c3 = 0 Solving b2 + -1.4c3 = 0 Move all terms containing b to the left, all other terms to the right. Add '1.4c3' to each side of the equation. b2 + -1.4c3 + 1.4c3 = 0 + 1.4c3 Combine like terms: -1.4c3 + 1.4c3 = 0.0 b2 + 0.0 = 0 + 1.4c3 b2 = 0 + 1.4c3 Remove the zero: b2 = 1.4c3 Simplifying b2 = 1.4c3 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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