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

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


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

Reorder the terms:
(-13 + 2x)(2x + -7) = 0

Reorder the terms:
(-13 + 2x)(-7 + 2x) = 0

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

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

Solving
91 + -40x + 4x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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 2
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 = {3.5, 6.5}

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