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

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


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

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

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

Multiply (-4 + x) * (11 + 6x)
(-4(11 + 6x) + x(11 + 6x)) = 0
((11 * -4 + 6x * -4) + x(11 + 6x)) = 0
((-44 + -24x) + x(11 + 6x)) = 0
(-44 + -24x + (11 * x + 6x * x)) = 0
(-44 + -24x + (11x + 6x2)) = 0

Combine like terms: -24x + 11x = -13x
(-44 + -13x + 6x2) = 0

Solving
-44 + -13x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -6x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -6x)' equal to zero and attempt to solve:

Simplifying
-11 + -6x = 0

Solving
-11 + -6x = 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 + -6x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -6x = 0 + 11
-6x = 0 + 11

Combine like terms: 0 + 11 = 11
-6x = 11

Divide each side by '-6'.
x = -1.833333333

Simplifying
x = -1.833333333

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-1.833333333, 4}

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