1(2X+3)(X-5)=0

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Solution for 1(2X+3)(X-5)=0 equation: 


Simplifying
1(2X + 3)(X + -5) = 0

Reorder the terms:
1(3 + 2X)(X + -5) = 0

Reorder the terms:
1(3 + 2X)(-5 + X) = 0

Multiply (3 + 2X) * (-5 + X)
1(3(-5 + X) + 2X * (-5 + X)) = 0
1((-5 * 3 + X * 3) + 2X * (-5 + X)) = 0
1((-15 + 3X) + 2X * (-5 + X)) = 0
1(-15 + 3X + (-5 * 2X + X * 2X)) = 0
1(-15 + 3X + (-10X + 2X2)) = 0

Combine like terms: 3X + -10X = -7X
1(-15 + -7X + 2X2) = 0
(-15 * 1 + -7X * 1 + 2X2 * 1) = 0
(-15 + -7X + 2X2) = 0

Solving
-15 + -7X + 2X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-3 + -2X)(5 + -1X) = 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 '(5 + -1X)' equal to zero and attempt to solve:

Simplifying
5 + -1X = 0

Solving
5 + -1X = 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 + -1X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1X = 0 + -5
-1X = 0 + -5

Combine like terms: 0 + -5 = -5
-1X = -5

Divide each side by '-1'.
X = 5

Simplifying
X = 5
Solution
X = {-1.5, 5}

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