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

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Solution for (x+5)(4-3x)=0 equation: 


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

Reorder the terms:
(5 + x)(4 + -3x) = 0

Multiply (5 + x) * (4 + -3x)
(5(4 + -3x) + x(4 + -3x)) = 0
((4 * 5 + -3x * 5) + x(4 + -3x)) = 0
((20 + -15x) + x(4 + -3x)) = 0
(20 + -15x + (4 * x + -3x * x)) = 0
(20 + -15x + (4x + -3x2)) = 0

Combine like terms: -15x + 4x = -11x
(20 + -11x + -3x2) = 0

Solving
20 + -11x + -3x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5
Solution
x = {1.333333333, -5}

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