(3X+7)(5X-3)=0

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Solution for (3X+7)(5X-3)=0 equation: 


Simplifying
(3X + 7)(5X + -3) = 0

Reorder the terms:
(7 + 3X)(5X + -3) = 0

Reorder the terms:
(7 + 3X)(-3 + 5X) = 0

Multiply (7 + 3X) * (-3 + 5X)
(7(-3 + 5X) + 3X * (-3 + 5X)) = 0
((-3 * 7 + 5X * 7) + 3X * (-3 + 5X)) = 0
((-21 + 35X) + 3X * (-3 + 5X)) = 0
(-21 + 35X + (-3 * 3X + 5X * 3X)) = 0
(-21 + 35X + (-9X + 15X2)) = 0

Combine like terms: 35X + -9X = 26X
(-21 + 26X + 15X2) = 0

Solving
-21 + 26X + 15X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-7 + -3X)(3 + -5X) = 0


Subproblem 1
Set the factor '(-7 + -3X)' equal to zero and attempt to solve:

Simplifying
-7 + -3X = 0

Solving
-7 + -3X = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3X = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3X = 0 + 7
-3X = 0 + 7

Combine like terms: 0 + 7 = 7
-3X = 7

Divide each side by '-3'.
X = -2.333333333

Simplifying
X = -2.333333333

Subproblem 2
Set the factor '(3 + -5X)' equal to zero and attempt to solve:

Simplifying
3 + -5X = 0

Solving
3 + -5X = 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 + -5X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5X = 0 + -3
-5X = 0 + -3

Combine like terms: 0 + -3 = -3
-5X = -3

Divide each side by '-5'.
X = 0.6

Simplifying
X = 0.6
Solution
X = {-2.333333333, 0.6}

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