What are the solutions to the equation 4x(x-1)-3x=2x ?

The solutions to the equation 4x(x-1)-3x=2x are x= 9/4 ,x=0

Find the zeros of 4x(x-1)-3x=2x

The zeros of 4x(x-1)-3x=2x are x= 9/4 ,x=0

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4 x (x - 1) - 3 x = 2 x

x = \frac{9}{4}, x = 0

Decimal Notation

x = 2.25, x = 0

Solution steps

4 x (x - 1) - 3 x = 2 x

Expand

4 x (x - 1) - 3 x : 4 x^{2} - 7 x

4 x^{2} - 7 x = 2 x

Move

2 x

to the left side

4 x^{2} - 9 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 4 \cdot 0}{2 \cdot 4}

(- 9)^{2} - 4 \cdot 4 \cdot 0 = 9

x_{1, 2} = \frac{- ( - 9 ) \pm 9}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 9}{2 \cdot 4}, x_{2} = \frac{- ( - 9 ) - 9}{2 \cdot 4}

x = \frac{- ( - 9 ) + 9}{2 \cdot 4} : \frac{9}{4}

x = \frac{- ( - 9 ) - 9}{2 \cdot 4} : 0

The solutions to the quadratic equation are:

x = \frac{9}{4}, x = 0

2 a^{2} + a = 11 a

x, x^{2} - 6 m x + m^{3} = 0

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

4 x^{2} + 12 x - 17 = 0

0 = 3 x^{2} - 4 x - 1

What are the solutions to the equation 4x(x-1)-3x=2x ?
The solutions to the equation 4x(x-1)-3x=2x are x= 9/4 ,x=0
Find the zeros of 4x(x-1)-3x=2x
The zeros of 4x(x-1)-3x=2x are x= 9/4 ,x=0