(7x+4)x(11x+5)=

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Solution for (7x+4)x(11x+5)= equation: 


Simplifying
(7x + 4) * x(11x + 5) = 0

Reorder the terms:
(4 + 7x) * x(11x + 5) = 0

Reorder the terms:
(4 + 7x) * x(5 + 11x) = 0

Reorder the terms for easier multiplication:
x(4 + 7x)(5 + 11x) = 0

Multiply (4 + 7x) * (5 + 11x)
x(4(5 + 11x) + 7x * (5 + 11x)) = 0
x((5 * 4 + 11x * 4) + 7x * (5 + 11x)) = 0
x((20 + 44x) + 7x * (5 + 11x)) = 0
x(20 + 44x + (5 * 7x + 11x * 7x)) = 0
x(20 + 44x + (35x + 77x2)) = 0

Combine like terms: 44x + 35x = 79x
x(20 + 79x + 77x2) = 0
(20 * x + 79x * x + 77x2 * x) = 0
(20x + 79x2 + 77x3) = 0

Solving
20x + 79x2 + 77x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(20 + 79x + 77x2) = 0

Factor a trinomial.
x((4 + 7x)(5 + 11x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(4 + 7x)' equal to zero and attempt to solve:

Simplifying
4 + 7x = 0

Solving
4 + 7x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 0 + -4
7x = 0 + -4

Combine like terms: 0 + -4 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

Subproblem 3
Set the factor '(5 + 11x)' equal to zero and attempt to solve:

Simplifying
5 + 11x = 0

Solving
5 + 11x = 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 + 11x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 11x = 0 + -5
11x = 0 + -5

Combine like terms: 0 + -5 = -5
11x = -5

Divide each side by '11'.
x = -0.4545454545

Simplifying
x = -0.4545454545
Solution
x = {0, -0.5714285714, -0.4545454545}

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