(5x-25)(3x+25)=

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Solution for (5x-25)(3x+25)= equation: 


Simplifying
(5x + -25)(3x + 25) = 0

Reorder the terms:
(-25 + 5x)(3x + 25) = 0

Reorder the terms:
(-25 + 5x)(25 + 3x) = 0

Multiply (-25 + 5x) * (25 + 3x)
(-25(25 + 3x) + 5x * (25 + 3x)) = 0
((25 * -25 + 3x * -25) + 5x * (25 + 3x)) = 0
((-625 + -75x) + 5x * (25 + 3x)) = 0
(-625 + -75x + (25 * 5x + 3x * 5x)) = 0
(-625 + -75x + (125x + 15x2)) = 0

Combine like terms: -75x + 125x = 50x
(-625 + 50x + 15x2) = 0

Solving
-625 + 50x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-125 + 10x + 3x2) = 0

Factor a trinomial.
5((-25 + -3x)(5 + -1x)) = 0

Ignore the factor 5.

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

Simplifying
-25 + -3x = 0

Solving
-25 + -3x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -3x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -3x = 0 + 25
-3x = 0 + 25

Combine like terms: 0 + 25 = 25
-3x = 25

Divide each side by '-3'.
x = -8.333333333

Simplifying
x = -8.333333333

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-8.333333333, 5}

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