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

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


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

Combine like terms: 3x + 12x = 15x
(15x)(5x + 7) = 0

Remove parenthesis around (15x)
15x(5x + 7) = 0

Reorder the terms:
15x(7 + 5x) = 0
(7 * 15x + 5x * 15x) = 0
(105x + 75x2) = 0

Solving
105x + 75x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15x'.
15x(7 + 5x) = 0

Ignore the factor 15.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + 5x)' equal to zero and attempt to solve:

Simplifying
7 + 5x = 0

Solving
7 + 5x = 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 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4
Solution
x = {0, -1.4}

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