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

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


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

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

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

Multiply (-2 + 5x) * (-3 + -4x)
(-2(-3 + -4x) + 5x * (-3 + -4x)) = 0
((-3 * -2 + -4x * -2) + 5x * (-3 + -4x)) = 0
((6 + 8x) + 5x * (-3 + -4x)) = 0
(6 + 8x + (-3 * 5x + -4x * 5x)) = 0
(6 + 8x + (-15x + -20x2)) = 0

Combine like terms: 8x + -15x = -7x
(6 + -7x + -20x2) = 0

Solving
6 + -7x + -20x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 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 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

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

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

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

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Solution
x = {0.4, -0.75}

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