(4x+9)(5x-11)=

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Solution for (4x+9)(5x-11)= equation: 


Simplifying
(4x + 9)(5x + -11) = 0

Reorder the terms:
(9 + 4x)(5x + -11) = 0

Reorder the terms:
(9 + 4x)(-11 + 5x) = 0

Multiply (9 + 4x) * (-11 + 5x)
(9(-11 + 5x) + 4x * (-11 + 5x)) = 0
((-11 * 9 + 5x * 9) + 4x * (-11 + 5x)) = 0
((-99 + 45x) + 4x * (-11 + 5x)) = 0
(-99 + 45x + (-11 * 4x + 5x * 4x)) = 0
(-99 + 45x + (-44x + 20x2)) = 0

Combine like terms: 45x + -44x = 1x
(-99 + 1x + 20x2) = 0

Solving
-99 + 1x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -4x)(11 + -5x) = 0


Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve:

Simplifying
-9 + -4x = 0

Solving
-9 + -4x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -4x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = 0 + 9
-4x = 0 + 9

Combine like terms: 0 + 9 = 9
-4x = 9

Divide each side by '-4'.
x = -2.25

Simplifying
x = -2.25

Subproblem 2
Set the factor '(11 + -5x)' equal to zero and attempt to solve:

Simplifying
11 + -5x = 0

Solving
11 + -5x = 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 + -5x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = 0 + -11
-5x = 0 + -11

Combine like terms: 0 + -11 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2
Solution
x = {-2.25, 2.2}

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