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

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Solution for (-5x+4)(-2x-3)=0 equation: 


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

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

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

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

Combine like terms: -8x + 15x = 7x
(-12 + 7x + 10x2) = 0

Solving
-12 + 7x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -2x)(4 + -5x) = 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 '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

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

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

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

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {-1.5, 0.8}

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