(2x+28)(4x-2)=

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Solution for (2x+28)(4x-2)= equation: 


Simplifying
(2x + 28)(4x + -2) = 0

Reorder the terms:
(28 + 2x)(4x + -2) = 0

Reorder the terms:
(28 + 2x)(-2 + 4x) = 0

Multiply (28 + 2x) * (-2 + 4x)
(28(-2 + 4x) + 2x * (-2 + 4x)) = 0
((-2 * 28 + 4x * 28) + 2x * (-2 + 4x)) = 0
((-56 + 112x) + 2x * (-2 + 4x)) = 0
(-56 + 112x + (-2 * 2x + 4x * 2x)) = 0
(-56 + 112x + (-4x + 8x2)) = 0

Combine like terms: 112x + -4x = 108x
(-56 + 108x + 8x2) = 0

Solving
-56 + 108x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-14 + 27x + 2x2) = 0

Factor a trinomial.
4((-14 + -1x)(1 + -2x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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 = {-14, 0.5}

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