(7x+4)(3x+9)=

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Solution for (7x+4)(3x+9)= equation: 


Simplifying
(7x + 4)(3x + 9) = 0

Reorder the terms:
(4 + 7x)(3x + 9) = 0

Reorder the terms:
(4 + 7x)(9 + 3x) = 0

Multiply (4 + 7x) * (9 + 3x)
(4(9 + 3x) + 7x * (9 + 3x)) = 0
((9 * 4 + 3x * 4) + 7x * (9 + 3x)) = 0
((36 + 12x) + 7x * (9 + 3x)) = 0
(36 + 12x + (9 * 7x + 3x * 7x)) = 0
(36 + 12x + (63x + 21x2)) = 0

Combine like terms: 12x + 63x = 75x
(36 + 75x + 21x2) = 0

Solving
36 + 75x + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + 25x + 7x2) = 0

Factor a trinomial.
3((3 + x)(4 + 7x)) = 0

Ignore the factor 3.

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

Simplifying
3 + x = 0

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

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

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

Simplifying
x = -3

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
Solution
x = {-3, -0.5714285714}

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