(x+11)(3x-14)=0

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Solution for (x+11)(3x-14)=0 equation: 


Simplifying
(x + 11)(3x + -14) = 0

Reorder the terms:
(11 + x)(3x + -14) = 0

Reorder the terms:
(11 + x)(-14 + 3x) = 0

Multiply (11 + x) * (-14 + 3x)
(11(-14 + 3x) + x(-14 + 3x)) = 0
((-14 * 11 + 3x * 11) + x(-14 + 3x)) = 0
((-154 + 33x) + x(-14 + 3x)) = 0
(-154 + 33x + (-14 * x + 3x * x)) = 0
(-154 + 33x + (-14x + 3x2)) = 0

Combine like terms: 33x + -14x = 19x
(-154 + 19x + 3x2) = 0

Solving
-154 + 19x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -1x)(14 + -3x) = 0


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

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 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 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

Subproblem 2
Set the factor '(14 + -3x)' equal to zero and attempt to solve:

Simplifying
14 + -3x = 0

Solving
14 + -3x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -3x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = 0 + -14
-3x = 0 + -14

Combine like terms: 0 + -14 = -14
-3x = -14

Divide each side by '-3'.
x = 4.666666667

Simplifying
x = 4.666666667
Solution
x = {-11, 4.666666667}

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