16x^2+8x+1=x+10

Solution for 16x^2+8x+1=x+10 equation:

Simplifying
16x2 + 8x + 1 = x + 10

Reorder the terms:
1 + 8x + 16x2 = x + 10

Reorder the terms:
1 + 8x + 16x2 = 10 + x

Solving
1 + 8x + 16x2 = 10 + x

Solving for variable 'x'.

Reorder the terms:
1 + -10 + 8x + -1x + 16x2 = 10 + x + -10 + -1x

Combine like terms: 1 + -10 = -9
-9 + 8x + -1x + 16x2 = 10 + x + -10 + -1x

Combine like terms: 8x + -1x = 7x
-9 + 7x + 16x2 = 10 + x + -10 + -1x

Reorder the terms:
-9 + 7x + 16x2 = 10 + -10 + x + -1x

Combine like terms: 10 + -10 = 0
-9 + 7x + 16x2 = 0 + x + -1x
-9 + 7x + 16x2 = x + -1x

Combine like terms: x + -1x = 0
-9 + 7x + 16x2 = 0

Factor a trinomial.
(-1 + -1x)(9 + -16x) = 0

Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1
Subproblem 2
Set the factor '(9 + -16x)' equal to zero and attempt to solve:

Simplifying
9 + -16x = 0

Solving
9 + -16x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -16x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -16x = 0 + -9
-16x = 0 + -9

Combine like terms: 0 + -9 = -9
-16x = -9

Divide each side by '-16'.
x = 0.5625

Simplifying
x = 0.5625
Solution
x = {-1, 0.5625}