(2x-6)*(4x+11)=0

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Solution for (2x-6)*(4x+11)=0 equation: 


Simplifying
(2x + -6)(4x + 11) = 0

Reorder the terms:
(-6 + 2x)(4x + 11) = 0

Reorder the terms:
(-6 + 2x)(11 + 4x) = 0

Multiply (-6 + 2x) * (11 + 4x)
(-6(11 + 4x) + 2x * (11 + 4x)) = 0
((11 * -6 + 4x * -6) + 2x * (11 + 4x)) = 0
((-66 + -24x) + 2x * (11 + 4x)) = 0
(-66 + -24x + (11 * 2x + 4x * 2x)) = 0
(-66 + -24x + (22x + 8x2)) = 0

Combine like terms: -24x + 22x = -2x
(-66 + -2x + 8x2) = 0

Solving
-66 + -2x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-33 + -1x + 4x2) = 0

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

Ignore the factor 2.

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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-2.75, 3}

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