(8X+2)(2X+5)=

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Solution for (8X+2)(2X+5)= equation: 


Simplifying
(8X + 2)(2X + 5) = 0

Reorder the terms:
(2 + 8X)(2X + 5) = 0

Reorder the terms:
(2 + 8X)(5 + 2X) = 0

Multiply (2 + 8X) * (5 + 2X)
(2(5 + 2X) + 8X * (5 + 2X)) = 0
((5 * 2 + 2X * 2) + 8X * (5 + 2X)) = 0
((10 + 4X) + 8X * (5 + 2X)) = 0
(10 + 4X + (5 * 8X + 2X * 8X)) = 0
(10 + 4X + (40X + 16X2)) = 0

Combine like terms: 4X + 40X = 44X
(10 + 44X + 16X2) = 0

Solving
10 + 44X + 16X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 22X + 8X2) = 0

Factor a trinomial.
2((5 + 2X)(1 + 4X)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(1 + 4X)' equal to zero and attempt to solve:

Simplifying
1 + 4X = 0

Solving
1 + 4X = 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 + 4X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4X = 0 + -1
4X = 0 + -1

Combine like terms: 0 + -1 = -1
4X = -1

Divide each side by '4'.
X = -0.25

Simplifying
X = -0.25
Solution
X = {-2.5, -0.25}

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