(6x+4)(4-6x)-16=18x

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Solution for (6x+4)(4-6x)-16=18x equation: 


Simplifying
(6x + 4)(4 + -6x) + -16 = 18x

Reorder the terms:
(4 + 6x)(4 + -6x) + -16 = 18x

Multiply (4 + 6x) * (4 + -6x)
(4(4 + -6x) + 6x * (4 + -6x)) + -16 = 18x
((4 * 4 + -6x * 4) + 6x * (4 + -6x)) + -16 = 18x
((16 + -24x) + 6x * (4 + -6x)) + -16 = 18x
(16 + -24x + (4 * 6x + -6x * 6x)) + -16 = 18x
(16 + -24x + (24x + -36x2)) + -16 = 18x

Combine like terms: -24x + 24x = 0
(16 + 0 + -36x2) + -16 = 18x
(16 + -36x2) + -16 = 18x

Reorder the terms:
16 + -16 + -36x2 = 18x

Combine like terms: 16 + -16 = 0
0 + -36x2 = 18x
-36x2 = 18x

Solving
-36x2 = 18x

Solving for variable 'x'.

Reorder the terms:
-18x + -36x2 = 18x + -18x

Combine like terms: 18x + -18x = 0
-18x + -36x2 = 0

Factor out the Greatest Common Factor (GCF), '-18x'.
-18x(1 + 2x) = 0

Ignore the factor -18.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {0, -0.5}

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