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

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


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

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

Reorder the terms:
(-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.
(-4 + -1x)(5 + -3x) = 0


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

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 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 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
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
Solution
x = {-4, 1.666666667}

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