5(x-8)(x-1)=0

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Solution for 5(x-8)(x-1)=0 equation: 


Simplifying
5(x + -8)(x + -1) = 0

Reorder the terms:
5(-8 + x)(x + -1) = 0

Reorder the terms:
5(-8 + x)(-1 + x) = 0

Multiply (-8 + x) * (-1 + x)
5(-8(-1 + x) + x(-1 + x)) = 0
5((-1 * -8 + x * -8) + x(-1 + x)) = 0
5((8 + -8x) + x(-1 + x)) = 0
5(8 + -8x + (-1 * x + x * x)) = 0
5(8 + -8x + (-1x + x2)) = 0

Combine like terms: -8x + -1x = -9x
5(8 + -9x + x2) = 0
(8 * 5 + -9x * 5 + x2 * 5) = 0
(40 + -45x + 5x2) = 0

Solving
40 + -45x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(8 + -9x + x2) = 0

Factor a trinomial.
5((1 + -1x)(8 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
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

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {1, 8}

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