(6x-8)(8x-2)=0

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Solution for (6x-8)(8x-2)=0 equation: 


Simplifying
(6x + -8)(8x + -2) = 0

Reorder the terms:
(-8 + 6x)(8x + -2) = 0

Reorder the terms:
(-8 + 6x)(-2 + 8x) = 0

Multiply (-8 + 6x) * (-2 + 8x)
(-8(-2 + 8x) + 6x * (-2 + 8x)) = 0
((-2 * -8 + 8x * -8) + 6x * (-2 + 8x)) = 0
((16 + -64x) + 6x * (-2 + 8x)) = 0
(16 + -64x + (-2 * 6x + 8x * 6x)) = 0
(16 + -64x + (-12x + 48x2)) = 0

Combine like terms: -64x + -12x = -76x
(16 + -76x + 48x2) = 0

Solving
16 + -76x + 48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + -19x + 12x2) = 0

Factor a trinomial.
4((1 + -4x)(4 + -3x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {0.25, 1.333333333}

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