=(2x-5)(x+4)

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Solution for =(2x-5)(x+4) equation: 


Simplifying
0 = (2x + -5)(x + 4)

Reorder the terms:
0 = (-5 + 2x)(x + 4)

Reorder the terms:
0 = (-5 + 2x)(4 + x)

Multiply (-5 + 2x) * (4 + x)
0 = (-5(4 + x) + 2x * (4 + x))
0 = ((4 * -5 + x * -5) + 2x * (4 + x))
0 = ((-20 + -5x) + 2x * (4 + x))
0 = (-20 + -5x + (4 * 2x + x * 2x))
0 = (-20 + -5x + (8x + 2x2))

Combine like terms: -5x + 8x = 3x
0 = (-20 + 3x + 2x2)

Solving
0 = -20 + 3x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 20 = 20
20 + -3x + -2x2 = -20 + 3x + 2x2 + 20 + -3x + -2x2

Reorder the terms:
20 + -3x + -2x2 = -20 + 20 + 3x + -3x + 2x2 + -2x2

Combine like terms: -20 + 20 = 0
20 + -3x + -2x2 = 0 + 3x + -3x + 2x2 + -2x2
20 + -3x + -2x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
20 + -3x + -2x2 = 0 + 2x2 + -2x2
20 + -3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
20 + -3x + -2x2 = 0

Factor a trinomial.
(5 + -2x)(4 + x) = 0


Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {2.5, -4}

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