(-4x+5)(-2x-3)=

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Solution for (-4x+5)(-2x-3)= equation: 


Simplifying
(-4x + 5)(-2x + -3) = 0

Reorder the terms:
(5 + -4x)(-2x + -3) = 0

Reorder the terms:
(5 + -4x)(-3 + -2x) = 0

Multiply (5 + -4x) * (-3 + -2x)
(5(-3 + -2x) + -4x * (-3 + -2x)) = 0
((-3 * 5 + -2x * 5) + -4x * (-3 + -2x)) = 0
((-15 + -10x) + -4x * (-3 + -2x)) = 0
(-15 + -10x + (-3 * -4x + -2x * -4x)) = 0
(-15 + -10x + (12x + 8x2)) = 0

Combine like terms: -10x + 12x = 2x
(-15 + 2x + 8x2) = 0

Solving
-15 + 2x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -2x)(5 + -4x) = 0


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

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-1.5, 1.25}

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