(6x-4)*(5x-8)=

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Solution for (6x-4)*(5x-8)= equation: 


Simplifying
(6x + -4)(5x + -8) = 0

Reorder the terms:
(-4 + 6x)(5x + -8) = 0

Reorder the terms:
(-4 + 6x)(-8 + 5x) = 0

Multiply (-4 + 6x) * (-8 + 5x)
(-4(-8 + 5x) + 6x * (-8 + 5x)) = 0
((-8 * -4 + 5x * -4) + 6x * (-8 + 5x)) = 0
((32 + -20x) + 6x * (-8 + 5x)) = 0
(32 + -20x + (-8 * 6x + 5x * 6x)) = 0
(32 + -20x + (-48x + 30x2)) = 0

Combine like terms: -20x + -48x = -68x
(32 + -68x + 30x2) = 0

Solving
32 + -68x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + -34x + 15x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 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 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {0.6666666667, 1.6}

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