(2x+28)(4x+10)=

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Solution for (2x+28)(4x+10)= equation: 


Simplifying
(2x + 28)(4x + 10) = 0

Reorder the terms:
(28 + 2x)(4x + 10) = 0

Reorder the terms:
(28 + 2x)(10 + 4x) = 0

Multiply (28 + 2x) * (10 + 4x)
(28(10 + 4x) + 2x * (10 + 4x)) = 0
((10 * 28 + 4x * 28) + 2x * (10 + 4x)) = 0
((280 + 112x) + 2x * (10 + 4x)) = 0
(280 + 112x + (10 * 2x + 4x * 2x)) = 0
(280 + 112x + (20x + 8x2)) = 0

Combine like terms: 112x + 20x = 132x
(280 + 132x + 8x2) = 0

Solving
280 + 132x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(70 + 33x + 2x2) = 0

Factor a trinomial.
4((14 + x)(5 + 2x)) = 0

Ignore the factor 4.

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

Simplifying
14 + x = 0

Solving
14 + x = 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 + x = 0 + -14

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

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

Simplifying
x = -14

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

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {-14, -2.5}

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