(9-4x)(11-3x)=0

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Solution for (9-4x)(11-3x)=0 equation: 


Simplifying
(9 + -4x)(11 + -3x) = 0

Multiply (9 + -4x) * (11 + -3x)
(9(11 + -3x) + -4x * (11 + -3x)) = 0
((11 * 9 + -3x * 9) + -4x * (11 + -3x)) = 0
((99 + -27x) + -4x * (11 + -3x)) = 0
(99 + -27x + (11 * -4x + -3x * -4x)) = 0
(99 + -27x + (-44x + 12x2)) = 0

Combine like terms: -27x + -44x = -71x
(99 + -71x + 12x2) = 0

Solving
99 + -71x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + -4x)(11 + -3x) = 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 + -3x)' equal to zero and attempt to solve:

Simplifying
11 + -3x = 0

Solving
11 + -3x = 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 + -3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 0 + -11
-3x = 0 + -11

Combine like terms: 0 + -11 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667
Solution
x = {2.25, 3.666666667}

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