(10x-8)(6x-4)=0

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Solution for (10x-8)(6x-4)=0 equation: 


Simplifying
(10x + -8)(6x + -4) = 0

Reorder the terms:
(-8 + 10x)(6x + -4) = 0

Reorder the terms:
(-8 + 10x)(-4 + 6x) = 0

Multiply (-8 + 10x) * (-4 + 6x)
(-8(-4 + 6x) + 10x * (-4 + 6x)) = 0
((-4 * -8 + 6x * -8) + 10x * (-4 + 6x)) = 0
((32 + -48x) + 10x * (-4 + 6x)) = 0
(32 + -48x + (-4 * 10x + 6x * 10x)) = 0
(32 + -48x + (-40x + 60x2)) = 0

Combine like terms: -48x + -40x = -88x
(32 + -88x + 60x2) = 0

Solving
32 + -88x + 60x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + -22x + 15x2) = 0

Factor a trinomial.
4((2 + -3x)(4 + -5x)) = 0

Ignore the factor 4.

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 '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {0.6666666667, 0.8}

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