(2x-7)(x-14)=0

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Solution for (2x-7)(x-14)=0 equation: 


Simplifying
(2x + -7)(x + -14) = 0

Reorder the terms:
(-7 + 2x)(x + -14) = 0

Reorder the terms:
(-7 + 2x)(-14 + x) = 0

Multiply (-7 + 2x) * (-14 + x)
(-7(-14 + x) + 2x * (-14 + x)) = 0
((-14 * -7 + x * -7) + 2x * (-14 + x)) = 0
((98 + -7x) + 2x * (-14 + x)) = 0
(98 + -7x + (-14 * 2x + x * 2x)) = 0
(98 + -7x + (-28x + 2x2)) = 0

Combine like terms: -7x + -28x = -35x
(98 + -35x + 2x2) = 0

Solving
98 + -35x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -2x)(14 + -1x) = 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 '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 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 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {3.5, 14}

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