What are the solutions to the equation b^2x^2-bx=30 ?

The solutions to the equation b^2x^2-bx=30 are x= 6/b ,x=-5/b ;\quad b\ne 0

Find the zeros of b^2x^2-bx=30

The zeros of b^2x^2-bx=30 are x= 6/b ,x=-5/b ;\quad b\ne 0

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b^{2} x^{2} - b x = 30

x = \frac{6}{b}, x = - \frac{5}{b}; b \neq = 0

Solution steps

b^{2} x^{2} - b x = 30

Move

30

to the left side

b^{2} x^{2} - b x - 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - b ) \pm ( - b ) ^{2} - 4 b ^{2} ( - 30 )}{2 b ^{2}}

Simplify

(- b)^{2} - 4 b^{2} (- 30) : 11 b

x_{1, 2} = \frac{- ( - b ) \pm 11 b}{2 b ^{2}}; b \neq = 0

Separate the solutions

x_{1} = \frac{- ( - b ) + 11 b}{2 b ^{2}}, x_{2} = \frac{- ( - b ) - 11 b}{2 b ^{2}}

x = \frac{- ( - b ) + 11 b}{2 b ^{2}} : \frac{6}{b}

x = \frac{- ( - b ) - 11 b}{2 b ^{2}} : - \frac{5}{b}

The solutions to the quadratic equation are:

x = \frac{6}{b}, x = - \frac{5}{b}; b \neq = 0

9 + c^{2} = 25

x^{2} - 4 (x + 3)^{2} - 12 = 0

a, 4 a - 2 a^{2} = 4 b - 2 b^{2}

x^{2} + 14 x - 51 = 0

5 x^{2} + (2 n - 3) x + 2001 = 0

What are the solutions to the equation b^2x^2-bx=30 ?
The solutions to the equation b^2x^2-bx=30 are x= 6/b ,x=-5/b ;\quad b\ne 0
Find the zeros of b^2x^2-bx=30
The zeros of b^2x^2-bx=30 are x= 6/b ,x=-5/b ;\quad b\ne 0