(9x+7)(6x+4)=

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Solution for (9x+7)(6x+4)= equation: 


Simplifying
(9x + 7)(6x + 4) = 0

Reorder the terms:
(7 + 9x)(6x + 4) = 0

Reorder the terms:
(7 + 9x)(4 + 6x) = 0

Multiply (7 + 9x) * (4 + 6x)
(7(4 + 6x) + 9x * (4 + 6x)) = 0
((4 * 7 + 6x * 7) + 9x * (4 + 6x)) = 0
((28 + 42x) + 9x * (4 + 6x)) = 0
(28 + 42x + (4 * 9x + 6x * 9x)) = 0
(28 + 42x + (36x + 54x2)) = 0

Combine like terms: 42x + 36x = 78x
(28 + 78x + 54x2) = 0

Solving
28 + 78x + 54x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + 39x + 27x2) = 0

Factor a trinomial.
2((7 + 9x)(2 + 3x)) = 0

Ignore the factor 2.

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 '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 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 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-0.7777777778, -0.6666666667}

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