(-3x-2)(-2x+5)=0

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Solution for (-3x-2)(-2x+5)=0 equation: 


Simplifying
(-3x + -2)(-2x + 5) = 0

Reorder the terms:
(-2 + -3x)(-2x + 5) = 0

Reorder the terms:
(-2 + -3x)(5 + -2x) = 0

Multiply (-2 + -3x) * (5 + -2x)
(-2(5 + -2x) + -3x * (5 + -2x)) = 0
((5 * -2 + -2x * -2) + -3x * (5 + -2x)) = 0
((-10 + 4x) + -3x * (5 + -2x)) = 0
(-10 + 4x + (5 * -3x + -2x * -3x)) = 0
(-10 + 4x + (-15x + 6x2)) = 0

Combine like terms: 4x + -15x = -11x
(-10 + -11x + 6x2) = 0

Solving
-10 + -11x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -3x)(5 + -2x) = 0


Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3x = 0 + 2

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

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

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

Subproblem 2
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
Solution
x = {-0.6666666667, 2.5}

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