(9x+7)(4x+8x+3)=

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Solution for (9x+7)(4x+8x+3)= equation: 


Simplifying
(9x + 7)(4x + 8x + 3) = 0

Reorder the terms:
(7 + 9x)(4x + 8x + 3) = 0

Reorder the terms:
(7 + 9x)(3 + 4x + 8x) = 0

Combine like terms: 4x + 8x = 12x
(7 + 9x)(3 + 12x) = 0

Multiply (7 + 9x) * (3 + 12x)
(7(3 + 12x) + 9x * (3 + 12x)) = 0
((3 * 7 + 12x * 7) + 9x * (3 + 12x)) = 0
((21 + 84x) + 9x * (3 + 12x)) = 0
(21 + 84x + (3 * 9x + 12x * 9x)) = 0
(21 + 84x + (27x + 108x2)) = 0

Combine like terms: 84x + 27x = 111x
(21 + 111x + 108x2) = 0

Solving
21 + 111x + 108x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(7 + 37x + 36x2) = 0

Factor a trinomial.
3((7 + 9x)(1 + 4x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(7 + 9x)' equal to zero and attempt to solve:

Simplifying
7 + 9x = 0

Solving
7 + 9x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 9x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 9x = 0 + -7
9x = 0 + -7

Combine like terms: 0 + -7 = -7
9x = -7

Divide each side by '9'.
x = -0.7777777778

Simplifying
x = -0.7777777778

Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Solution
x = {-0.7777777778, -0.25}

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