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

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


Simplifying
(3 + -1x)(12 + 5x) = 0

Multiply (3 + -1x) * (12 + 5x)
(3(12 + 5x) + -1x * (12 + 5x)) = 0
((12 * 3 + 5x * 3) + -1x * (12 + 5x)) = 0
((36 + 15x) + -1x * (12 + 5x)) = 0
(36 + 15x + (12 * -1x + 5x * -1x)) = 0
(36 + 15x + (-12x + -5x2)) = 0

Combine like terms: 15x + -12x = 3x
(36 + 3x + -5x2) = 0

Solving
36 + 3x + -5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(12 + 5x) = 0


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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(12 + 5x)' equal to zero and attempt to solve:

Simplifying
12 + 5x = 0

Solving
12 + 5x = 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 + 5x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 0 + -12
5x = 0 + -12

Combine like terms: 0 + -12 = -12
5x = -12

Divide each side by '5'.
x = -2.4

Simplifying
x = -2.4
Solution
x = {3, -2.4}

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