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

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


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

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

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

Multiply (-2 + 5x) * (-8 + 5x)
(-2(-8 + 5x) + 5x * (-8 + 5x)) = 0
((-8 * -2 + 5x * -2) + 5x * (-8 + 5x)) = 0
((16 + -10x) + 5x * (-8 + 5x)) = 0
(16 + -10x + (-8 * 5x + 5x * 5x)) = 0
(16 + -10x + (-40x + 25x2)) = 0

Combine like terms: -10x + -40x = -50x
(16 + -50x + 25x2) = 0

Solving
16 + -50x + 25x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

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

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

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 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 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {0.4, 1.6}

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