(12-7x)(5+3x)=0

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Solution for (12-7x)(5+3x)=0 equation: 


Simplifying
(12 + -7x)(5 + 3x) = 0

Multiply (12 + -7x) * (5 + 3x)
(12(5 + 3x) + -7x * (5 + 3x)) = 0
((5 * 12 + 3x * 12) + -7x * (5 + 3x)) = 0
((60 + 36x) + -7x * (5 + 3x)) = 0
(60 + 36x + (5 * -7x + 3x * -7x)) = 0
(60 + 36x + (-35x + -21x2)) = 0

Combine like terms: 36x + -35x = 1x
(60 + 1x + -21x2) = 0

Solving
60 + 1x + -21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(12 + -7x)(5 + 3x) = 0


Subproblem 1
Set the factor '(12 + -7x)' equal to zero and attempt to solve:

Simplifying
12 + -7x = 0

Solving
12 + -7x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -7x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = 0 + -12
-7x = 0 + -12

Combine like terms: 0 + -12 = -12
-7x = -12

Divide each side by '-7'.
x = 1.714285714

Simplifying
x = 1.714285714

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {1.714285714, -1.666666667}

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