(x+1)(x+1)-16x*x=0

Solution for (x+1)(x+1)-16x*x=0 equation:

Simplifying
(x + 1)(x + 1) + -16x * x = 0

Reorder the terms:
(1 + x)(x + 1) + -16x * x = 0

Reorder the terms:
(1 + x)(1 + x) + -16x * x = 0

Multiply (1 + x) * (1 + x)
(1(1 + x) + x(1 + x)) + -16x * x = 0
((1 * 1 + x * 1) + x(1 + x)) + -16x * x = 0
((1 + 1x) + x(1 + x)) + -16x * x = 0
(1 + 1x + (1 * x + x * x)) + -16x * x = 0
(1 + 1x + (1x + x2)) + -16x * x = 0

Combine like terms: 1x + 1x = 2x
(1 + 2x + x2) + -16x * x = 0

Multiply x * x
1 + 2x + x2 + -16x2 = 0

Combine like terms: x2 + -16x2 = -15x2
1 + 2x + -15x2 = 0

Solving
1 + 2x + -15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -3x)(1 + 5x) = 0

Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve:

Simplifying
1 + 5x = 0

Solving
1 + 5x = 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 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {0.3333333333, -0.2}