(-5-4x)(6x-3)=

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Solution for (-5-4x)(6x-3)= equation: 


Simplifying
(-5 + -4x)(6x + -3) = 0

Reorder the terms:
(-5 + -4x)(-3 + 6x) = 0

Multiply (-5 + -4x) * (-3 + 6x)
(-5(-3 + 6x) + -4x * (-3 + 6x)) = 0
((-3 * -5 + 6x * -5) + -4x * (-3 + 6x)) = 0
((15 + -30x) + -4x * (-3 + 6x)) = 0
(15 + -30x + (-3 * -4x + 6x * -4x)) = 0
(15 + -30x + (12x + -24x2)) = 0

Combine like terms: -30x + 12x = -18x
(15 + -18x + -24x2) = 0

Solving
15 + -18x + -24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -6x + -8x2) = 0

Factor a trinomial.
3((1 + -2x)(5 + 4x)) = 0

Ignore the factor 3.

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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 = {0.5, -1.25}

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