(-1+-2x)(2+-7x)=0

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Solution for (-1+-2x)(2+-7x)=0 equation: 


Simplifying
(-1 + -2x)(2 + -7x) = 0

Multiply (-1 + -2x) * (2 + -7x)
(-1(2 + -7x) + -2x * (2 + -7x)) = 0
((2 * -1 + -7x * -1) + -2x * (2 + -7x)) = 0
((-2 + 7x) + -2x * (2 + -7x)) = 0
(-2 + 7x + (2 * -2x + -7x * -2x)) = 0
(-2 + 7x + (-4x + 14x2)) = 0

Combine like terms: 7x + -4x = 3x
(-2 + 3x + 14x2) = 0

Solving
-2 + 3x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -2x)(2 + -7x) = 0


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

Simplifying
-1 + -2x = 0

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

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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 = {-0.5, 0.2857142857}

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