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

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


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

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

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

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

Solving
-8 + 32x + 16x2 = 24 + 16x

Solving for variable 'x'.

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

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

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

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

Combine like terms: 24 + -24 = 0
-32 + 16x + 16x2 = 0 + 16x + -16x
-32 + 16x + 16x2 = 16x + -16x

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

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

Factor a trinomial.
16((-2 + -1x)(1 + -1x)) = 0

Ignore the factor 16.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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 = {-2, 1}

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