(x-4)(x-6x+5)=

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Solution for (x-4)(x-6x+5)= equation: 


Simplifying
(x + -4)(x + -6x + 5) = 0

Reorder the terms:
(-4 + x)(x + -6x + 5) = 0

Reorder the terms:
(-4 + x)(5 + x + -6x) = 0

Combine like terms: x + -6x = -5x
(-4 + x)(5 + -5x) = 0

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

Combine like terms: 20x + 5x = 25x
(-20 + 25x + -5x2) = 0

Solving
-20 + 25x + -5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + 5x + -1x2) = 0

Factor a trinomial.
5((-4 + x)(1 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {4, 1}

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