What are the solutions to the equation 9x^2+12=3+12x+5x^2 ?

The solutions to the equation 9x^2+12=3+12x+5x^2 are x= 3/2

Find the zeros of 9x^2+12=3+12x+5x^2

The zeros of 9x^2+12=3+12x+5x^2 are x= 3/2

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9 x^{2} + 12 = 3 + 12 x + 5 x^{2}

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

9 x^{2} + 12 = 3 + 12 x + 5 x^{2}

Switch sides

3 + 12 x + 5 x^{2} = 9 x^{2} + 12

Move

12

to the left side

5 x^{2} + 12 x - 9 = 9 x^{2}

Move

9 x^{2}

to the left side

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

Solve with the quadratic formula

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

1 2^{2} - 4 (- 4) (- 9) = 0

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

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

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

x = \frac{3}{2}

The solution to the quadratic equation is:

x = \frac{3}{2}

x^{2} - 3 x + 6 = 6

π x^{2} = 36 π

x^{2} - 10 x - 2 = 0

x, 16 x^{2} + 16 y^{2} - 64 x + 8 y + 177 = 0

5 y^{2} + 16 = 42 y

What are the solutions to the equation 9x^2+12=3+12x+5x^2 ?
The solutions to the equation 9x^2+12=3+12x+5x^2 are x= 3/2
Find the zeros of 9x^2+12=3+12x+5x^2
The zeros of 9x^2+12=3+12x+5x^2 are x= 3/2