What are the solutions to the equation x+30=4x^2+20x+25 ?

The solutions to the equation x+30=4x^2+20x+25 are x= 1/4 ,x=-5

Find the zeros of x+30=4x^2+20x+25

The zeros of x+30=4x^2+20x+25 are x= 1/4 ,x=-5

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x + 30 = 4 x^{2} + 20 x + 25

x = \frac{1}{4}, x = - 5

Solution steps

x + 30 = 4 x^{2} + 20 x + 25

Switch sides

4 x^{2} + 20 x + 25 = x + 30

Move

30

to the left side

4 x^{2} + 20 x - 5 = x

Move

x

to the left side

4 x^{2} + 19 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 19 \pm 1 9 ^{2} - 4 \cdot 4 ( - 5 )}{2 \cdot 4}

1 9^{2} - 4 \cdot 4 (- 5) = 21

x_{1, 2} = \frac{- 19 \pm 21}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 19 + 21}{2 \cdot 4}, x_{2} = \frac{- 19 - 21}{2 \cdot 4}

x = \frac{- 19 + 21}{2 \cdot 4} : \frac{1}{4}

x = \frac{- 19 - 21}{2 \cdot 4} : - 5

The solutions to the quadratic equation are:

x = \frac{1}{4}, x = - 5

16 - 24 x + 9 x^{2} = 0

3 q^{2} - 136 q + 1300 = 0

12 x^{2} + 10 x + 2 = 0

5 x^{2} - x - 4 = 0

6 x^{2} + 3 = 7 x

What are the solutions to the equation x+30=4x^2+20x+25 ?
The solutions to the equation x+30=4x^2+20x+25 are x= 1/4 ,x=-5
Find the zeros of x+30=4x^2+20x+25
The zeros of x+30=4x^2+20x+25 are x= 1/4 ,x=-5