(8x-4x+11)(x+5)=

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Solution for (8x-4x+11)(x+5)= equation:


Simplifying
(8x + -4x + 11)(x + 5) = 0

Reorder the terms:
(11 + 8x + -4x)(x + 5) = 0

Combine like terms: 8x + -4x = 4x
(11 + 4x)(x + 5) = 0

Reorder the terms:
(11 + 4x)(5 + x) = 0

Multiply (11 + 4x) * (5 + x)
(11(5 + x) + 4x * (5 + x)) = 0
((5 * 11 + x * 11) + 4x * (5 + x)) = 0
((55 + 11x) + 4x * (5 + x)) = 0
(55 + 11x + (5 * 4x + x * 4x)) = 0
(55 + 11x + (20x + 4x2)) = 0

Combine like terms: 11x + 20x = 31x
(55 + 31x + 4x2) = 0

Solving
55 + 31x + 4x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5

Subproblem 2
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
Solution
x = {-5, -2.75}

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