(5x+4)(-4x-5)=

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Solution for (5x+4)(-4x-5)= equation: 


Simplifying
(5x + 4)(-4x + -5) = 0

Reorder the terms:
(4 + 5x)(-4x + -5) = 0

Reorder the terms:
(4 + 5x)(-5 + -4x) = 0

Multiply (4 + 5x) * (-5 + -4x)
(4(-5 + -4x) + 5x * (-5 + -4x)) = 0
((-5 * 4 + -4x * 4) + 5x * (-5 + -4x)) = 0
((-20 + -16x) + 5x * (-5 + -4x)) = 0
(-20 + -16x + (-5 * 5x + -4x * 5x)) = 0
(-20 + -16x + (-25x + -20x2)) = 0

Combine like terms: -16x + -25x = -41x
(-20 + -41x + -20x2) = 0

Solving
-20 + -41x + -20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(20 + 41x + 20x2) = 0

Factor a trinomial.
-1((5 + 4x)(4 + 5x)) = 0

Ignore the factor -1.

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 '(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 = {-1.25, -0.8}

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