(-6x+3)(-4x-11)=0

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Solution for (-6x+3)(-4x-11)=0 equation: 


Simplifying
(-6x + 3)(-4x + -11) = 0

Reorder the terms:
(3 + -6x)(-4x + -11) = 0

Reorder the terms:
(3 + -6x)(-11 + -4x) = 0

Multiply (3 + -6x) * (-11 + -4x)
(3(-11 + -4x) + -6x * (-11 + -4x)) = 0
((-11 * 3 + -4x * 3) + -6x * (-11 + -4x)) = 0
((-33 + -12x) + -6x * (-11 + -4x)) = 0
(-33 + -12x + (-11 * -6x + -4x * -6x)) = 0
(-33 + -12x + (66x + 24x2)) = 0

Combine like terms: -12x + 66x = 54x
(-33 + 54x + 24x2) = 0

Solving
-33 + 54x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-11 + 18x + 8x2) = 0

Factor a trinomial.
3((-11 + -4x)(1 + -2x)) = 0

Ignore the factor 3.

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 '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-2.75, 0.5}

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