(5x+11)(x-1)=0

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Solution for (5x+11)(x-1)=0 equation: 


Simplifying
(5x + 11)(x + -1) = 0

Reorder the terms:
(11 + 5x)(x + -1) = 0

Reorder the terms:
(11 + 5x)(-1 + x) = 0

Multiply (11 + 5x) * (-1 + x)
(11(-1 + x) + 5x * (-1 + x)) = 0
((-1 * 11 + x * 11) + 5x * (-1 + x)) = 0
((-11 + 11x) + 5x * (-1 + x)) = 0
(-11 + 11x + (-1 * 5x + x * 5x)) = 0
(-11 + 11x + (-5x + 5x2)) = 0

Combine like terms: 11x + -5x = 6x
(-11 + 6x + 5x2) = 0

Solving
-11 + 6x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -5x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -5x)' equal to zero and attempt to solve:

Simplifying
-11 + -5x = 0

Solving
-11 + -5x = 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 + -5x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -5x = 0 + 11
-5x = 0 + 11

Combine like terms: 0 + 11 = 11
-5x = 11

Divide each side by '-5'.
x = -2.2

Simplifying
x = -2.2

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-2.2, 1}

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