(4x+8)(7x+11)=0

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Solution for (4x+8)(7x+11)=0 equation: 


Simplifying
(4x + 8)(7x + 11) = 0

Reorder the terms:
(8 + 4x)(7x + 11) = 0

Reorder the terms:
(8 + 4x)(11 + 7x) = 0

Multiply (8 + 4x) * (11 + 7x)
(8(11 + 7x) + 4x * (11 + 7x)) = 0
((11 * 8 + 7x * 8) + 4x * (11 + 7x)) = 0
((88 + 56x) + 4x * (11 + 7x)) = 0
(88 + 56x + (11 * 4x + 7x * 4x)) = 0
(88 + 56x + (44x + 28x2)) = 0

Combine like terms: 56x + 44x = 100x
(88 + 100x + 28x2) = 0

Solving
88 + 100x + 28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(22 + 25x + 7x2) = 0

Factor a trinomial.
4((2 + x)(11 + 7x)) = 0

Ignore the factor 4.

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2

Subproblem 2
Set the factor '(11 + 7x)' equal to zero and attempt to solve:

Simplifying
11 + 7x = 0

Solving
11 + 7x = 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 + 7x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = 0 + -11
7x = 0 + -11

Combine like terms: 0 + -11 = -11
7x = -11

Divide each side by '7'.
x = -1.571428571

Simplifying
x = -1.571428571
Solution
x = {-2, -1.571428571}

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