(5x-13)(6x-19)=0

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Solution for (5x-13)(6x-19)=0 equation: 


Simplifying
(5x + -13)(6x + -19) = 0

Reorder the terms:
(-13 + 5x)(6x + -19) = 0

Reorder the terms:
(-13 + 5x)(-19 + 6x) = 0

Multiply (-13 + 5x) * (-19 + 6x)
(-13(-19 + 6x) + 5x * (-19 + 6x)) = 0
((-19 * -13 + 6x * -13) + 5x * (-19 + 6x)) = 0
((247 + -78x) + 5x * (-19 + 6x)) = 0
(247 + -78x + (-19 * 5x + 6x * 5x)) = 0
(247 + -78x + (-95x + 30x2)) = 0

Combine like terms: -78x + -95x = -173x
(247 + -173x + 30x2) = 0

Solving
247 + -173x + 30x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(13 + -5x)(19 + -6x) = 0


Subproblem 1
Set the factor '(13 + -5x)' equal to zero and attempt to solve:

Simplifying
13 + -5x = 0

Solving
13 + -5x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -5x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = 0 + -13
-5x = 0 + -13

Combine like terms: 0 + -13 = -13
-5x = -13

Divide each side by '-5'.
x = 2.6

Simplifying
x = 2.6

Subproblem 2
Set the factor '(19 + -6x)' equal to zero and attempt to solve:

Simplifying
19 + -6x = 0

Solving
19 + -6x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -6x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -6x = 0 + -19
-6x = 0 + -19

Combine like terms: 0 + -19 = -19
-6x = -19

Divide each side by '-6'.
x = 3.166666667

Simplifying
x = 3.166666667
Solution
x = {2.6, 3.166666667}

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