(16x-11)(19+9x)=

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Solution for (16x-11)(19+9x)= equation:


Simplifying
(16x + -11)(19 + 9x) = 0

Reorder the terms:
(-11 + 16x)(19 + 9x) = 0

Multiply (-11 + 16x) * (19 + 9x)
(-11(19 + 9x) + 16x * (19 + 9x)) = 0
((19 * -11 + 9x * -11) + 16x * (19 + 9x)) = 0
((-209 + -99x) + 16x * (19 + 9x)) = 0
(-209 + -99x + (19 * 16x + 9x * 16x)) = 0
(-209 + -99x + (304x + 144x2)) = 0

Combine like terms: -99x + 304x = 205x
(-209 + 205x + 144x2) = 0

Solving
-209 + 205x + 144x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-19 + -9x)(11 + -16x) = 0


Subproblem 1
Set the factor '(-19 + -9x)' equal to zero and attempt to solve:

Simplifying
-19 + -9x = 0

Solving
-19 + -9x = 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 + -9x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -9x = 0 + 19
-9x = 0 + 19

Combine like terms: 0 + 19 = 19
-9x = 19

Divide each side by '-9'.
x = -2.111111111

Simplifying
x = -2.111111111

Subproblem 2
Set the factor '(11 + -16x)' equal to zero and attempt to solve:

Simplifying
11 + -16x = 0

Solving
11 + -16x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -16x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -16x = 0 + -11
-16x = 0 + -11

Combine like terms: 0 + -11 = -11
-16x = -11

Divide each side by '-16'.
x = 0.6875

Simplifying
x = 0.6875
Solution
x = {-2.111111111, 0.6875}

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