(4x+11)(8x+1)=

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Solution for (4x+11)(8x+1)= equation: 


Simplifying
(4x + 11)(8x + 1) = 0

Reorder the terms:
(11 + 4x)(8x + 1) = 0

Reorder the terms:
(11 + 4x)(1 + 8x) = 0

Multiply (11 + 4x) * (1 + 8x)
(11(1 + 8x) + 4x * (1 + 8x)) = 0
((1 * 11 + 8x * 11) + 4x * (1 + 8x)) = 0
((11 + 88x) + 4x * (1 + 8x)) = 0
(11 + 88x + (1 * 4x + 8x * 4x)) = 0
(11 + 88x + (4x + 32x2)) = 0

Combine like terms: 88x + 4x = 92x
(11 + 92x + 32x2) = 0

Solving
11 + 92x + 32x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + 4x)(1 + 8x) = 0


Subproblem 1
Set the factor '(11 + 4x)' equal to zero and attempt to solve:

Simplifying
11 + 4x = 0

Solving
11 + 4x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 4x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = 0 + -11
4x = 0 + -11

Combine like terms: 0 + -11 = -11
4x = -11

Divide each side by '4'.
x = -2.75

Simplifying
x = -2.75

Subproblem 2
Set the factor '(1 + 8x)' equal to zero and attempt to solve:

Simplifying
1 + 8x = 0

Solving
1 + 8x = 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 + 8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 0 + -1
8x = 0 + -1

Combine like terms: 0 + -1 = -1
8x = -1

Divide each side by '8'.
x = -0.125

Simplifying
x = -0.125
Solution
x = {-2.75, -0.125}

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