(10x+9)(-4x-11)=0

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Solution for (10x+9)(-4x-11)=0 equation: 


Simplifying
(10x + 9)(-4x + -11) = 0

Reorder the terms:
(9 + 10x)(-4x + -11) = 0

Reorder the terms:
(9 + 10x)(-11 + -4x) = 0

Multiply (9 + 10x) * (-11 + -4x)
(9(-11 + -4x) + 10x * (-11 + -4x)) = 0
((-11 * 9 + -4x * 9) + 10x * (-11 + -4x)) = 0
((-99 + -36x) + 10x * (-11 + -4x)) = 0
(-99 + -36x + (-11 * 10x + -4x * 10x)) = 0
(-99 + -36x + (-110x + -40x2)) = 0

Combine like terms: -36x + -110x = -146x
(-99 + -146x + -40x2) = 0

Solving
-99 + -146x + -40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(99 + 146x + 40x2) = 0

Factor a trinomial.
-1((11 + 4x)(9 + 10x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(11 + 4x)' equal to zero and attempt to solve:

Simplifying
11 + 4x = 0

Solving
11 + 4x = 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 + 4x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = 0 + -11
4x = 0 + -11

Combine like terms: 0 + -11 = -11
4x = -11

Divide each side by '4'.
x = -2.75

Simplifying
x = -2.75

Subproblem 2
Set the factor '(9 + 10x)' equal to zero and attempt to solve:

Simplifying
9 + 10x = 0

Solving
9 + 10x = 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 + 10x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 10x = 0 + -9
10x = 0 + -9

Combine like terms: 0 + -9 = -9
10x = -9

Divide each side by '10'.
x = -0.9

Simplifying
x = -0.9
Solution
x = {-2.75, -0.9}

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