(x+5)*(4x-26)=0

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Solution for (x+5)*(4x-26)=0 equation: 


Simplifying
(x + 5)(4x + -26) = 0

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

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

Multiply (5 + x) * (-26 + 4x)
(5(-26 + 4x) + x(-26 + 4x)) = 0
((-26 * 5 + 4x * 5) + x(-26 + 4x)) = 0
((-130 + 20x) + x(-26 + 4x)) = 0
(-130 + 20x + (-26 * x + 4x * x)) = 0
(-130 + 20x + (-26x + 4x2)) = 0

Combine like terms: 20x + -26x = -6x
(-130 + -6x + 4x2) = 0

Solving
-130 + -6x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-65 + -3x + 2x2) = 0

Factor a trinomial.
2((-5 + -1x)(13 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -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 = {-5, 6.5}

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