(7x+22)(4x+27)=0

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Solution for (7x+22)(4x+27)=0 equation: 


Simplifying
(7x + 22)(4x + 27) = 0

Reorder the terms:
(22 + 7x)(4x + 27) = 0

Reorder the terms:
(22 + 7x)(27 + 4x) = 0

Multiply (22 + 7x) * (27 + 4x)
(22(27 + 4x) + 7x * (27 + 4x)) = 0
((27 * 22 + 4x * 22) + 7x * (27 + 4x)) = 0
((594 + 88x) + 7x * (27 + 4x)) = 0
(594 + 88x + (27 * 7x + 4x * 7x)) = 0
(594 + 88x + (189x + 28x2)) = 0

Combine like terms: 88x + 189x = 277x
(594 + 277x + 28x2) = 0

Solving
594 + 277x + 28x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(27 + 4x)(22 + 7x) = 0


Subproblem 1
Set the factor '(27 + 4x)' equal to zero and attempt to solve:

Simplifying
27 + 4x = 0

Solving
27 + 4x = 0

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

Add '-27' to each side of the equation.
27 + -27 + 4x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 4x = 0 + -27
4x = 0 + -27

Combine like terms: 0 + -27 = -27
4x = -27

Divide each side by '4'.
x = -6.75

Simplifying
x = -6.75

Subproblem 2
Set the factor '(22 + 7x)' equal to zero and attempt to solve:

Simplifying
22 + 7x = 0

Solving
22 + 7x = 0

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

Add '-22' to each side of the equation.
22 + -22 + 7x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 7x = 0 + -22
7x = 0 + -22

Combine like terms: 0 + -22 = -22
7x = -22

Divide each side by '7'.
x = -3.142857143

Simplifying
x = -3.142857143
Solution
x = {-6.75, -3.142857143}

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