(5x-69)(5x+27)=

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Solution for (5x-69)(5x+27)= equation: 


Simplifying
(5x + -69)(5x + 27) = 0

Reorder the terms:
(-69 + 5x)(5x + 27) = 0

Reorder the terms:
(-69 + 5x)(27 + 5x) = 0

Multiply (-69 + 5x) * (27 + 5x)
(-69(27 + 5x) + 5x * (27 + 5x)) = 0
((27 * -69 + 5x * -69) + 5x * (27 + 5x)) = 0
((-1863 + -345x) + 5x * (27 + 5x)) = 0
(-1863 + -345x + (27 * 5x + 5x * 5x)) = 0
(-1863 + -345x + (135x + 25x2)) = 0

Combine like terms: -345x + 135x = -210x
(-1863 + -210x + 25x2) = 0

Solving
-1863 + -210x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-27 + -5x)(69 + -5x) = 0


Subproblem 1
Set the factor '(-27 + -5x)' equal to zero and attempt to solve:

Simplifying
-27 + -5x = 0

Solving
-27 + -5x = 0

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

Add '27' to each side of the equation.
-27 + 27 + -5x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -5x = 0 + 27
-5x = 0 + 27

Combine like terms: 0 + 27 = 27
-5x = 27

Divide each side by '-5'.
x = -5.4

Simplifying
x = -5.4

Subproblem 2
Set the factor '(69 + -5x)' equal to zero and attempt to solve:

Simplifying
69 + -5x = 0

Solving
69 + -5x = 0

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

Add '-69' to each side of the equation.
69 + -69 + -5x = 0 + -69

Combine like terms: 69 + -69 = 0
0 + -5x = 0 + -69
-5x = 0 + -69

Combine like terms: 0 + -69 = -69
-5x = -69

Divide each side by '-5'.
x = 13.8

Simplifying
x = 13.8
Solution
x = {-5.4, 13.8}

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