(-2x+19)(-15x-19)=0

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Solution for (-2x+19)(-15x-19)=0 equation: 


Simplifying
(-2x + 19)(-15x + -19) = 0

Reorder the terms:
(19 + -2x)(-15x + -19) = 0

Reorder the terms:
(19 + -2x)(-19 + -15x) = 0

Multiply (19 + -2x) * (-19 + -15x)
(19(-19 + -15x) + -2x * (-19 + -15x)) = 0
((-19 * 19 + -15x * 19) + -2x * (-19 + -15x)) = 0
((-361 + -285x) + -2x * (-19 + -15x)) = 0
(-361 + -285x + (-19 * -2x + -15x * -2x)) = 0
(-361 + -285x + (38x + 30x2)) = 0

Combine like terms: -285x + 38x = -247x
(-361 + -247x + 30x2) = 0

Solving
-361 + -247x + 30x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-19 + -15x)(19 + -2x) = 0


Subproblem 1
Set the factor '(-19 + -15x)' equal to zero and attempt to solve:

Simplifying
-19 + -15x = 0

Solving
-19 + -15x = 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 + -15x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -15x = 0 + 19
-15x = 0 + 19

Combine like terms: 0 + 19 = 19
-15x = 19

Divide each side by '-15'.
x = -1.266666667

Simplifying
x = -1.266666667

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

Simplifying
19 + -2x = 0

Solving
19 + -2x = 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 + -2x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -2x = 0 + -19
-2x = 0 + -19

Combine like terms: 0 + -19 = -19
-2x = -19

Divide each side by '-2'.
x = 9.5

Simplifying
x = 9.5
Solution
x = {-1.266666667, 9.5}

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