(7-2x)(13-2x)(1x)=

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Solution for (7-2x)(13-2x)(1x)= equation: 


Simplifying
(7 + -2x)(13 + -2x)(1x) = 0

Remove parenthesis around (1x)
(7 + -2x)(13 + -2x) * 1x = 0

Reorder the terms for easier multiplication:
1x(7 + -2x)(13 + -2x) = 0

Multiply (7 + -2x) * (13 + -2x)
1x(7(13 + -2x) + -2x * (13 + -2x)) = 0
1x((13 * 7 + -2x * 7) + -2x * (13 + -2x)) = 0
1x((91 + -14x) + -2x * (13 + -2x)) = 0
1x(91 + -14x + (13 * -2x + -2x * -2x)) = 0
1x(91 + -14x + (-26x + 4x2)) = 0

Combine like terms: -14x + -26x = -40x
1x(91 + -40x + 4x2) = 0
(91 * 1x + -40x * 1x + 4x2 * 1x) = 0
(91x + -40x2 + 4x3) = 0

Solving
91x + -40x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(91 + -40x + 4x2) = 0

Factor a trinomial.
x((7 + -2x)(13 + -2x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

Subproblem 3
Set the factor '(13 + -2x)' equal to zero and attempt to solve:

Simplifying
13 + -2x = 0

Solving
13 + -2x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -2x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 0 + -13
-2x = 0 + -13

Combine like terms: 0 + -13 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5
Solution
x = {0, 3.5, 6.5}

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