8(X-5)(3X+11)=0

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Solution for 8(X-5)(3X+11)=0 equation: 


Simplifying
8(X + -5)(3X + 11) = 0

Reorder the terms:
8(-5 + X)(3X + 11) = 0

Reorder the terms:
8(-5 + X)(11 + 3X) = 0

Multiply (-5 + X) * (11 + 3X)
8(-5(11 + 3X) + X(11 + 3X)) = 0
8((11 * -5 + 3X * -5) + X(11 + 3X)) = 0
8((-55 + -15X) + X(11 + 3X)) = 0
8(-55 + -15X + (11 * X + 3X * X)) = 0
8(-55 + -15X + (11X + 3X2)) = 0

Combine like terms: -15X + 11X = -4X
8(-55 + -4X + 3X2) = 0
(-55 * 8 + -4X * 8 + 3X2 * 8) = 0
(-440 + -32X + 24X2) = 0

Solving
-440 + -32X + 24X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-55 + -4X + 3X2) = 0

Factor a trinomial.
8((-11 + -3X)(5 + -1X)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-11 + -3X)' equal to zero and attempt to solve:

Simplifying
-11 + -3X = 0

Solving
-11 + -3X = 0

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

Add '11' to each side of the equation.
-11 + 11 + -3X = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3X = 0 + 11
-3X = 0 + 11

Combine like terms: 0 + 11 = 11
-3X = 11

Divide each side by '-3'.
X = -3.666666667

Simplifying
X = -3.666666667

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 = {-3.666666667, 5}

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