=(x-8)(2x-5)

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Solution for =(x-8)(2x-5) equation: 


Simplifying
0 = (x + -8)(2x + -5)

Reorder the terms:
0 = (-8 + x)(2x + -5)

Reorder the terms:
0 = (-8 + x)(-5 + 2x)

Multiply (-8 + x) * (-5 + 2x)
0 = (-8(-5 + 2x) + x(-5 + 2x))
0 = ((-5 * -8 + 2x * -8) + x(-5 + 2x))
0 = ((40 + -16x) + x(-5 + 2x))
0 = (40 + -16x + (-5 * x + 2x * x))
0 = (40 + -16x + (-5x + 2x2))

Combine like terms: -16x + -5x = -21x
0 = (40 + -21x + 2x2)

Solving
0 = 40 + -21x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -40 = -40
-40 + 21x + -2x2 = 40 + -21x + 2x2 + -40 + 21x + -2x2

Reorder the terms:
-40 + 21x + -2x2 = 40 + -40 + -21x + 21x + 2x2 + -2x2

Combine like terms: 40 + -40 = 0
-40 + 21x + -2x2 = 0 + -21x + 21x + 2x2 + -2x2
-40 + 21x + -2x2 = -21x + 21x + 2x2 + -2x2

Combine like terms: -21x + 21x = 0
-40 + 21x + -2x2 = 0 + 2x2 + -2x2
-40 + 21x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-40 + 21x + -2x2 = 0

Factor a trinomial.
(-8 + x)(5 + -2x) = 0


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

Simplifying
-8 + x = 0

Solving
-8 + x = 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 + x = 0 + 8

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

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

Simplifying
x = 8

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {8, 2.5}

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