-2(x-8)(3x-5)=0

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Solution for -2(x-8)(3x-5)=0 equation: 


Simplifying
-2(x + -8)(3x + -5) = 0

Reorder the terms:
-2(-8 + x)(3x + -5) = 0

Reorder the terms:
-2(-8 + x)(-5 + 3x) = 0

Multiply (-8 + x) * (-5 + 3x)
-2(-8(-5 + 3x) + x(-5 + 3x)) = 0
-2((-5 * -8 + 3x * -8) + x(-5 + 3x)) = 0
-2((40 + -24x) + x(-5 + 3x)) = 0
-2(40 + -24x + (-5 * x + 3x * x)) = 0
-2(40 + -24x + (-5x + 3x2)) = 0

Combine like terms: -24x + -5x = -29x
-2(40 + -29x + 3x2) = 0
(40 * -2 + -29x * -2 + 3x2 * -2) = 0
(-80 + 58x + -6x2) = 0

Solving
-80 + 58x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-40 + 29x + -3x2) = 0

Factor a trinomial.
2((-8 + x)(5 + -3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

Solving
-8 + x = 0

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

Add '8' to each side of the equation.
-8 + 8 + x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x = 0 + 8
x = 0 + 8

Combine like terms: 0 + 8 = 8
x = 8

Simplifying
x = 8

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

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

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

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

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {8, 1.666666667}

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