(2x+14)(4x-26)=

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Solution for (2x+14)(4x-26)= equation: 


Simplifying
(2x + 14)(4x + -26) = 0

Reorder the terms:
(14 + 2x)(4x + -26) = 0

Reorder the terms:
(14 + 2x)(-26 + 4x) = 0

Multiply (14 + 2x) * (-26 + 4x)
(14(-26 + 4x) + 2x * (-26 + 4x)) = 0
((-26 * 14 + 4x * 14) + 2x * (-26 + 4x)) = 0
((-364 + 56x) + 2x * (-26 + 4x)) = 0
(-364 + 56x + (-26 * 2x + 4x * 2x)) = 0
(-364 + 56x + (-52x + 8x2)) = 0

Combine like terms: 56x + -52x = 4x
(-364 + 4x + 8x2) = 0

Solving
-364 + 4x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-91 + x + 2x2) = 0

Factor a trinomial.
4((-7 + -1x)(13 + -2x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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 = {-7, 6.5}

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