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

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


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

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

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

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

Combine like terms: 40x + -10x = 30x
(-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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