16x(x+2)-8=16+24

Solution for 16x(x+2)-8=16+24 equation:

Simplifying
16x(x + 2) + -8 = 16 + 24

Reorder the terms:
16x(2 + x) + -8 = 16 + 24
(2 * 16x + x * 16x) + -8 = 16 + 24
(32x + 16x2) + -8 = 16 + 24

Reorder the terms:
-8 + 32x + 16x2 = 16 + 24

Combine like terms: 16 + 24 = 40
-8 + 32x + 16x2 = 40

Solving
-8 + 32x + 16x2 = 40

Solving for variable 'x'.

Reorder the terms:
-8 + -40 + 32x + 16x2 = 40 + -40

Combine like terms: -8 + -40 = -48
-48 + 32x + 16x2 = 40 + -40

Combine like terms: 40 + -40 = 0
-48 + 32x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-3 + 2x + x2) = 0

Factor a trinomial.
16((-3 + -1x)(1 + -1x)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

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

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3
Subproblem 2
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
Solution
x = {-3, 1}