What are the solutions to the equation 4x(x-3)=-9 ?

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

Find the zeros of 4x(x-3)=-9

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

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4 x (x - 3) = - 9

x = \frac{3}{2}

Solution steps

4 x (x - 3) = - 9

Expand

4 x (x - 3) : 4 x^{2} - 12 x

4 x^{2} - 12 x = - 9

Move

9

to the left side

4 x^{2} - 12 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 4 \cdot 9}{2 \cdot 4}

(- 12)^{2} - 4 \cdot 4 \cdot 9 = 0

x_{1, 2} = \frac{- ( - 12 ) \pm 0}{2 \cdot 4}

x = \frac{- ( - 12 )}{2 \cdot 4}

\frac{- ( - 12 )}{2 \cdot 4} = \frac{3}{2}

x = \frac{3}{2}

The solution to the quadratic equation is:

x = \frac{3}{2}

x^{2} - 4 = 12

(x + 3)^{2} = 10

(x + 3)^{2} = 20

4 n^{2} - 28 n + 48 = 0

x^{2} + 17 x - 18 = - 10

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