What are the solutions to the equation 4x^2+16x+3=8x ?

The solutions to the equation 4x^2+16x+3=8x are x=-1/2 ,x=-3/2

Find the zeros of 4x^2+16x+3=8x

The zeros of 4x^2+16x+3=8x are x=-1/2 ,x=-3/2

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4 x^{2} + 16 x + 3 = 8 x

x = - \frac{1}{2}, x = - \frac{3}{2}

Decimal Notation

x = - 0.5, x = - 1.5

Solution steps

4 x^{2} + 16 x + 3 = 8 x

Move

8 x

to the left side

4 x^{2} + 8 x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 4 \cdot 3}{2 \cdot 4}

8^{2} - 4 \cdot 4 \cdot 3 = 4

x_{1, 2} = \frac{- 8 \pm 4}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 8 + 4}{2 \cdot 4}, x_{2} = \frac{- 8 - 4}{2 \cdot 4}

x = \frac{- 8 + 4}{2 \cdot 4} : - \frac{1}{2}

x = \frac{- 8 - 4}{2 \cdot 4} : - \frac{3}{2}

The solutions to the quadratic equation are:

x = - \frac{1}{2}, x = - \frac{3}{2}

x^{2} - 8 x - 63 = - 10 x

(x + 2)^{2} + (x + 3)^{2} = (x + 4)^{2}

x, y^{3} + y^{2} - 5 y - x^{2} = - 4

x, 4 x^{2} + 3 y^{2} - 24 y + 144 = 0

x^{2} + 5 x = 7

What are the solutions to the equation 4x^2+16x+3=8x ?
The solutions to the equation 4x^2+16x+3=8x are x=-1/2 ,x=-3/2
Find the zeros of 4x^2+16x+3=8x
The zeros of 4x^2+16x+3=8x are x=-1/2 ,x=-3/2