(2x-19)(5x+4)=0

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Solution for (2x-19)(5x+4)=0 equation: 


Simplifying
(2x + -19)(5x + 4) = 0

Reorder the terms:
(-19 + 2x)(5x + 4) = 0

Reorder the terms:
(-19 + 2x)(4 + 5x) = 0

Multiply (-19 + 2x) * (4 + 5x)
(-19(4 + 5x) + 2x * (4 + 5x)) = 0
((4 * -19 + 5x * -19) + 2x * (4 + 5x)) = 0
((-76 + -95x) + 2x * (4 + 5x)) = 0
(-76 + -95x + (4 * 2x + 5x * 2x)) = 0
(-76 + -95x + (8x + 10x2)) = 0

Combine like terms: -95x + 8x = -87x
(-76 + -87x + 10x2) = 0

Solving
-76 + -87x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -5x)(19 + -2x) = 0


Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve:

Simplifying
-4 + -5x = 0

Solving
-4 + -5x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 0 + 4
-5x = 0 + 4

Combine like terms: 0 + 4 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

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 = {-0.8, 9.5}

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