(4x-5)(x+4)+20=0

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Solution for (4x-5)(x+4)+20=0 equation: 


Simplifying
(4x + -5)(x + 4) + 20 = 0

Reorder the terms:
(-5 + 4x)(x + 4) + 20 = 0

Reorder the terms:
(-5 + 4x)(4 + x) + 20 = 0

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

Combine like terms: -5x + 16x = 11x
(-20 + 11x + 4x2) + 20 = 0

Reorder the terms:
-20 + 20 + 11x + 4x2 = 0

Combine like terms: -20 + 20 = 0
0 + 11x + 4x2 = 0
11x + 4x2 = 0

Solving
11x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + 4x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(11 + 4x)' equal to zero and attempt to solve:

Simplifying
11 + 4x = 0

Solving
11 + 4x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 4x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = 0 + -11
4x = 0 + -11

Combine like terms: 0 + -11 = -11
4x = -11

Divide each side by '4'.
x = -2.75

Simplifying
x = -2.75
Solution
x = {0, -2.75}

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