Solve ((2b-3)/(b-2))=(3b/(b^2)) - ScanMath

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Type your math problem... ((2b-3)/(b-2))=(3b/(b^2))

Question

Solve the equation

b \in / R

Alternative Form

No real solution

Evaluate

\frac{2 b - 3}{b - 2} = (3 \times \frac{b}{b ^{2}})

Remove the parentheses

\frac{2 b - 3}{b - 2} = 3 \times \frac{b}{b ^{2}}

Simplify

More Steps

\frac{2 b - 3}{b - 2} = \frac{3}{b}

Cross multiply

(2 b - 3) b = (b - 2) \times 3

Simplify the equation

b (2 b - 3) = (b - 2) \times 3

Simplify the equation

b (2 b - 3) = 3 (b - 2)

Calculate

More Steps

2 b^{2} - 3 b = 3 (b - 2)

Calculate

More Steps

2 b^{2} - 3 b = 3 b - 6

Move the expression to the left side

2 b^{2} - 3 b - (3 b - 6) = 0

Calculate

More Steps

2 b^{2} - 6 b + 6 = 0

Substitute a= 2,b= - 6 and c= 6 into the quadratic formula b = \frac{- b \pm b ^{2} - 4 a c}{2 a}

b = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 2 \times 6}{2 \times 2}

Simplify the expression

b = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 2 \times 6}{4}

Simplify the expression

More Steps

b = \frac{6 \pm - 12}{4}

Solution

b \in / R

Alternative Form

No real solution

Show Solution

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