(5x-2)(x-5x+5)=

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


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

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

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

Combine like terms: x + -5x = -4x
(-2 + 5x)(5 + -4x) = 0

Multiply (-2 + 5x) * (5 + -4x)
(-2(5 + -4x) + 5x * (5 + -4x)) = 0
((5 * -2 + -4x * -2) + 5x * (5 + -4x)) = 0
((-10 + 8x) + 5x * (5 + -4x)) = 0
(-10 + 8x + (5 * 5x + -4x * 5x)) = 0
(-10 + 8x + (25x + -20x2)) = 0

Combine like terms: 8x + 25x = 33x
(-10 + 33x + -20x2) = 0

Solving
-10 + 33x + -20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + 4x)(2 + -5x) = 0


Subproblem 1
Set the factor '(-5 + 4x)' equal to zero and attempt to solve:

Simplifying
-5 + 4x = 0

Solving
-5 + 4x = 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 + 4x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 0 + 5
4x = 0 + 5

Combine like terms: 0 + 5 = 5
4x = 5

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

Subproblem 2
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
Solution
x = {1.25, 0.4}

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