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

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


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

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

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

Multiply (-6 + 8x) * (-4 + 4x)
(-6(-4 + 4x) + 8x * (-4 + 4x)) = 0
((-4 * -6 + 4x * -6) + 8x * (-4 + 4x)) = 0
((24 + -24x) + 8x * (-4 + 4x)) = 0
(24 + -24x + (-4 * 8x + 4x * 8x)) = 0
(24 + -24x + (-32x + 32x2)) = 0

Combine like terms: -24x + -32x = -56x
(24 + -56x + 32x2) = 0

Solving
24 + -56x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(3 + -7x + 4x2) = 0

Factor a trinomial.
8((3 + -4x)(1 + -1x)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

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

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

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0.75, 1}

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