(5-3x)(4+x)=

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Solution for (5-3x)(4+x)= equation: 


Simplifying
(5 + -3x)(4 + x) = 0

Multiply (5 + -3x) * (4 + x)
(5(4 + x) + -3x * (4 + x)) = 0
((4 * 5 + x * 5) + -3x * (4 + x)) = 0
((20 + 5x) + -3x * (4 + x)) = 0
(20 + 5x + (4 * -3x + x * -3x)) = 0
(20 + 5x + (-12x + -3x2)) = 0

Combine like terms: 5x + -12x = -7x
(20 + -7x + -3x2) = 0

Solving
20 + -7x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -3x)(4 + x) = 0


Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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 = {1.666666667, -4}

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