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Simplifying
(5b + -7)(5b + 7) = 0
Reorder the terms:
(-7 + 5b)(5b + 7) = 0
Reorder the terms:
(-7 + 5b)(7 + 5b) = 0
Multiply (-7 + 5b) * (7 + 5b)
(-7(7 + 5b) + 5b * (7 + 5b)) = 0
((7 * -7 + 5b * -7) + 5b * (7 + 5b)) = 0
((-49 + -35b) + 5b * (7 + 5b)) = 0
(-49 + -35b + (7 * 5b + 5b * 5b)) = 0
(-49 + -35b + (35b + 25b2)) = 0
Combine like terms: -35b + 35b = 0
(-49 + 0 + 25b2) = 0
(-49 + 25b2) = 0
Solving
-49 + 25b2 = 0
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 25b2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 25b2 = 0 + 49
25b2 = 0 + 49
Combine like terms: 0 + 49 = 49
25b2 = 49
Divide each side by '25'.
b2 = 1.96
Simplifying
b2 = 1.96
Take the square root of each side:
b = {-1.4, 1.4}
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