(4X+1)(2X+7)=

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Solution for (4X+1)(2X+7)= equation: 


Simplifying
(4X + 1)(2X + 7) = 0

Reorder the terms:
(1 + 4X)(2X + 7) = 0

Reorder the terms:
(1 + 4X)(7 + 2X) = 0

Multiply (1 + 4X) * (7 + 2X)
(1(7 + 2X) + 4X * (7 + 2X)) = 0
((7 * 1 + 2X * 1) + 4X * (7 + 2X)) = 0
((7 + 2X) + 4X * (7 + 2X)) = 0
(7 + 2X + (7 * 4X + 2X * 4X)) = 0
(7 + 2X + (28X + 8X2)) = 0

Combine like terms: 2X + 28X = 30X
(7 + 30X + 8X2) = 0

Solving
7 + 30X + 8X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(7 + 2X)(1 + 4X) = 0


Subproblem 1
Set the factor '(7 + 2X)' equal to zero and attempt to solve:

Simplifying
7 + 2X = 0

Solving
7 + 2X = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2X = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2X = 0 + -7
2X = 0 + -7

Combine like terms: 0 + -7 = -7
2X = -7

Divide each side by '2'.
X = -3.5

Simplifying
X = -3.5

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 = {-3.5, -0.25}

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