(2+5x)(11+12x)=

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Solution for (2+5x)(11+12x)= equation: 


Simplifying
(2 + 5x)(11 + 12x) = 0

Multiply (2 + 5x) * (11 + 12x)
(2(11 + 12x) + 5x * (11 + 12x)) = 0
((11 * 2 + 12x * 2) + 5x * (11 + 12x)) = 0
((22 + 24x) + 5x * (11 + 12x)) = 0
(22 + 24x + (11 * 5x + 12x * 5x)) = 0
(22 + 24x + (55x + 60x2)) = 0

Combine like terms: 24x + 55x = 79x
(22 + 79x + 60x2) = 0

Solving
22 + 79x + 60x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + 12x)(2 + 5x) = 0


Subproblem 1
Set the factor '(11 + 12x)' equal to zero and attempt to solve:

Simplifying
11 + 12x = 0

Solving
11 + 12x = 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 + 12x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 12x = 0 + -11
12x = 0 + -11

Combine like terms: 0 + -11 = -11
12x = -11

Divide each side by '12'.
x = -0.9166666667

Simplifying
x = -0.9166666667

Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

Solving
2 + 5x = 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 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-0.9166666667, -0.4}

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