3(25x+9)(x-50)=0

Solution for 3(25x+9)(x-50)=0 equation:

Simplifying
3(25x + 9)(x + -50) = 0

Reorder the terms:
3(9 + 25x)(x + -50) = 0

Reorder the terms:
3(9 + 25x)(-50 + x) = 0

Multiply (9 + 25x) * (-50 + x)
3(9(-50 + x) + 25x * (-50 + x)) = 0
3((-50 * 9 + x * 9) + 25x * (-50 + x)) = 0
3((-450 + 9x) + 25x * (-50 + x)) = 0
3(-450 + 9x + (-50 * 25x + x * 25x)) = 0
3(-450 + 9x + (-1250x + 25x2)) = 0

Combine like terms: 9x + -1250x = -1241x
3(-450 + -1241x + 25x2) = 0
(-450 * 3 + -1241x * 3 + 25x2 * 3) = 0
(-1350 + -3723x + 75x2) = 0

Solving
-1350 + -3723x + 75x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-450 + -1241x + 25x2) = 0

Factor a trinomial.
3((-9 + -25x)(50 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-9 + -25x)' equal to zero and attempt to solve:

Simplifying
-9 + -25x = 0

Solving
-9 + -25x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -25x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -25x = 0 + 9
-25x = 0 + 9

Combine like terms: 0 + 9 = 9
-25x = 9

Divide each side by '-25'.
x = -0.36

Simplifying
x = -0.36
Subproblem 2
Set the factor '(50 + -1x)' equal to zero and attempt to solve:

Simplifying
50 + -1x = 0

Solving
50 + -1x = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 0 + -50
-1x = 0 + -50

Combine like terms: 0 + -50 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50
Solution
x = {-0.36, 50}