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Simplifying
(5b + -3) * x(5b + 3) = 0
Reorder the terms:
(-3 + 5b) * x(5b + 3) = 0
Reorder the terms:
(-3 + 5b) * x(3 + 5b) = 0
Reorder the terms for easier multiplication:
x(-3 + 5b)(3 + 5b) = 0
Multiply (-3 + 5b) * (3 + 5b)
x(-3(3 + 5b) + 5b * (3 + 5b)) = 0
x((3 * -3 + 5b * -3) + 5b * (3 + 5b)) = 0
x((-9 + -15b) + 5b * (3 + 5b)) = 0
x(-9 + -15b + (3 * 5b + 5b * 5b)) = 0
x(-9 + -15b + (15b + 25b2)) = 0
Combine like terms: -15b + 15b = 0
x(-9 + 0 + 25b2) = 0
x(-9 + 25b2) = 0
(-9 * x + 25b2 * x) = 0
Reorder the terms:
(25b2x + -9x) = 0
(25b2x + -9x) = 0
Solving
25b2x + -9x = 0
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '9x' to each side of the equation.
25b2x + -9x + 9x = 0 + 9x
Combine like terms: -9x + 9x = 0
25b2x + 0 = 0 + 9x
25b2x = 0 + 9x
Remove the zero:
25b2x = 9x
Divide each side by '25x'.
b2 = 0.36
Simplifying
b2 = 0.36
Take the square root of each side:
b = {-0.6, 0.6}
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