(7x-2)(x+11)=0

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Solution for (7x-2)(x+11)=0 equation: 


Simplifying
(7x + -2)(x + 11) = 0

Reorder the terms:
(-2 + 7x)(x + 11) = 0

Reorder the terms:
(-2 + 7x)(11 + x) = 0

Multiply (-2 + 7x) * (11 + x)
(-2(11 + x) + 7x * (11 + x)) = 0
((11 * -2 + x * -2) + 7x * (11 + x)) = 0
((-22 + -2x) + 7x * (11 + x)) = 0
(-22 + -2x + (11 * 7x + x * 7x)) = 0
(-22 + -2x + (77x + 7x2)) = 0

Combine like terms: -2x + 77x = 75x
(-22 + 75x + 7x2) = 0

Solving
-22 + 75x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -1x)(2 + -7x) = 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 '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {-11, 0.2857142857}

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