What is the answer to 15x^2+17=15(x+1)^2 ?

The answer to 15x^2+17=15(x+1)^2 is x= 1/15

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15x^2+17=15(x+1)^2

15 x^{2} + 17 = 15 (x + 1)^{2}

x = \frac{1}{15}

Decimal Notation

x = 0.06666 \dots

Solution steps

15 x^{2} + 17 = 15 (x + 1)^{2}

Expand

15 (x + 1)^{2} : 15 x^{2} + 30 x + 15

15 x^{2} + 17 = 15 x^{2} + 30 x + 15

Move

17

to the right side

15 x^{2} = 15 x^{2} + 30 x - 2

Subtract

15 x^{2} + 30 x

from both sides

15 x^{2} - (15 x^{2} + 30 x) = 15 x^{2} + 30 x - 2 - (15 x^{2} + 30 x)

Simplify

- 30 x = - 2

Divide both sides by

- 30

x = \frac{1}{15}

4 z^{2} + z + 4 = 0

y + 4 = y - 4

\frac{4}{11} n = - \frac{16}{55}

- 2 + 2 x \geq (\frac{( x + 3 )}{2}) \geq - 10

\frac{x}{2} + 2 - \frac{x}{12} = \frac{x}{6} - \frac{5}{4}

What is the answer to 15x^2+17=15(x+1)^2 ?
The answer to 15x^2+17=15(x+1)^2 is x= 1/15
Solve for x: 15x^2+17=15(x+1)^2
The solution is x= 1/15