(7-2x)*(2x-7)=

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


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

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

Multiply (7 + -2x) * (-7 + 2x)
(7(-7 + 2x) + -2x * (-7 + 2x)) = 0
((-7 * 7 + 2x * 7) + -2x * (-7 + 2x)) = 0
((-49 + 14x) + -2x * (-7 + 2x)) = 0
(-49 + 14x + (-7 * -2x + 2x * -2x)) = 0
(-49 + 14x + (14x + -4x2)) = 0

Combine like terms: 14x + 14x = 28x
(-49 + 28x + -4x2) = 0

Solving
-49 + 28x + -4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + 2x)(7 + -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 '(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
Solution
x = {3.5, 3.5}

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