5x(5x+8)=-16

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Solution for 5x(5x+8)=-16 equation: 


Simplifying
5x(5x + 8) = -16

Reorder the terms:
5x(8 + 5x) = -16
(8 * 5x + 5x * 5x) = -16
(40x + 25x2) = -16

Solving
40x + 25x2 = -16

Solving for variable 'x'.

Reorder the terms:
16 + 40x + 25x2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + 40x + 25x2 = 0

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


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

Simplifying
4 + 5x = 0

Solving
4 + 5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4

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

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

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8

Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4

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

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

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {-0.8, -0.8}

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