(-2+-1x)(14+-5x)=0

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Solution for (-2+-1x)(14+-5x)=0 equation: 


Simplifying
(-2 + -1x)(14 + -5x) = 0

Multiply (-2 + -1x) * (14 + -5x)
(-2(14 + -5x) + -1x * (14 + -5x)) = 0
((14 * -2 + -5x * -2) + -1x * (14 + -5x)) = 0
((-28 + 10x) + -1x * (14 + -5x)) = 0
(-28 + 10x + (14 * -1x + -5x * -1x)) = 0
(-28 + 10x + (-14x + 5x2)) = 0

Combine like terms: 10x + -14x = -4x
(-28 + -4x + 5x2) = 0

Solving
-28 + -4x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(14 + -5x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(14 + -5x)' equal to zero and attempt to solve:

Simplifying
14 + -5x = 0

Solving
14 + -5x = 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 + -5x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = 0 + -14
-5x = 0 + -14

Combine like terms: 0 + -14 = -14
-5x = -14

Divide each side by '-5'.
x = 2.8

Simplifying
x = 2.8
Solution
x = {-2, 2.8}

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