(3x+11)(8x+3)=

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Solution for (3x+11)(8x+3)= equation:


Simplifying
(3x + 11)(8x + 3) = 0

Reorder the terms:
(11 + 3x)(8x + 3) = 0

Reorder the terms:
(11 + 3x)(3 + 8x) = 0

Multiply (11 + 3x) * (3 + 8x)
(11(3 + 8x) + 3x * (3 + 8x)) = 0
((3 * 11 + 8x * 11) + 3x * (3 + 8x)) = 0
((33 + 88x) + 3x * (3 + 8x)) = 0
(33 + 88x + (3 * 3x + 8x * 3x)) = 0
(33 + 88x + (9x + 24x2)) = 0

Combine like terms: 88x + 9x = 97x
(33 + 97x + 24x2) = 0

Solving
33 + 97x + 24x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + 3x)(3 + 8x) = 0


Subproblem 1
Set the factor '(11 + 3x)' equal to zero and attempt to solve:

Simplifying
11 + 3x = 0

Solving
11 + 3x = 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 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11

Combine like terms: 0 + -11 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667

Subproblem 2
Set the factor '(3 + 8x)' equal to zero and attempt to solve:

Simplifying
3 + 8x = 0

Solving
3 + 8x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8x = 0 + -3
8x = 0 + -3

Combine like terms: 0 + -3 = -3
8x = -3

Divide each side by '8'.
x = -0.375

Simplifying
x = -0.375
Solution
x = {-3.666666667, -0.375}

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