X+5=9x^2+X+1 please help me

Simplifying

x + 5 = 9x2 + x + 1

Reorder the terms:

5 + x = 9x2 + x + 1

Reorder the terms:

5 + x = 1 + x + 9x2

Add '-1x' to each side of the equation.

5 + x + -1x = 1 + x + -1x + 9x2

Combine like terms: x + -1x = 0

5 + 0 = 1 + x + -1x + 9x2

5 = 1 + x + -1x + 9x2

Combine like terms: x + -1x = 0

5 = 1 + 0 + 9x2

5 = 1 + 9x2

Solving

5 = 1 + 9x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x2' to each side of the equation.

5 + -9x2 = 1 + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0

5 + -9x2 = 1 + 0

5 + -9x2 = 1

Add '-5' to each side of the equation.

5 + -5 + -9x2 = 1 + -5

Combine like terms: 5 + -5 = 0

0 + -9x2 = 1 + -5

-9x2 = 1 + -5

Combine like terms: 1 + -5 = -4

-9x2 = -4

Divide each side by '-9'.

x2 = 0.4444444444

Simplifying

x2 = 0.4444444444

Take the square root of each side:

x = {-0.666666667, 0.666666667}

Step-by-step explanation: