-(9X+5)(4X-3)=0

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Solution for -(9X+5)(4X-3)=0 equation: 


Simplifying
-1(9X + 5)(4X + -3) = 0

Reorder the terms:
-1(5 + 9X)(4X + -3) = 0

Reorder the terms:
-1(5 + 9X)(-3 + 4X) = 0

Multiply (5 + 9X) * (-3 + 4X)
-1(5(-3 + 4X) + 9X * (-3 + 4X)) = 0
-1((-3 * 5 + 4X * 5) + 9X * (-3 + 4X)) = 0
-1((-15 + 20X) + 9X * (-3 + 4X)) = 0
-1(-15 + 20X + (-3 * 9X + 4X * 9X)) = 0
-1(-15 + 20X + (-27X + 36X2)) = 0

Combine like terms: 20X + -27X = -7X
-1(-15 + -7X + 36X2) = 0
(-15 * -1 + -7X * -1 + 36X2 * -1) = 0
(15 + 7X + -36X2) = 0

Solving
15 + 7X + -36X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(3 + -4X)(5 + 9X) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + 9X)' equal to zero and attempt to solve:

Simplifying
5 + 9X = 0

Solving
5 + 9X = 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 + 9X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 9X = 0 + -5
9X = 0 + -5

Combine like terms: 0 + -5 = -5
9X = -5

Divide each side by '9'.
X = -0.5555555556

Simplifying
X = -0.5555555556
Solution
X = {0.75, -0.5555555556}

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