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

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Solution for -(5x+2)(5x-8)=0 equation: 


Simplifying
-1(5x + 2)(5x + -8) = 0

Reorder the terms:
-1(2 + 5x)(5x + -8) = 0

Reorder the terms:
-1(2 + 5x)(-8 + 5x) = 0

Multiply (2 + 5x) * (-8 + 5x)
-1(2(-8 + 5x) + 5x * (-8 + 5x)) = 0
-1((-8 * 2 + 5x * 2) + 5x * (-8 + 5x)) = 0
-1((-16 + 10x) + 5x * (-8 + 5x)) = 0
-1(-16 + 10x + (-8 * 5x + 5x * 5x)) = 0
-1(-16 + 10x + (-40x + 25x2)) = 0

Combine like terms: 10x + -40x = -30x
-1(-16 + -30x + 25x2) = 0
(-16 * -1 + -30x * -1 + 25x2 * -1) = 0
(16 + 30x + -25x2) = 0

Solving
16 + 30x + -25x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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 = {1.6, -0.4}

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