(8X+6)(6X-8)=0

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Solution for (8X+6)(6X-8)=0 equation: 


Simplifying
(8X + 6)(6X + -8) = 0

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

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

Multiply (6 + 8X) * (-8 + 6X)
(6(-8 + 6X) + 8X * (-8 + 6X)) = 0
((-8 * 6 + 6X * 6) + 8X * (-8 + 6X)) = 0
((-48 + 36X) + 8X * (-8 + 6X)) = 0
(-48 + 36X + (-8 * 8X + 6X * 8X)) = 0
(-48 + 36X + (-64X + 48X2)) = 0

Combine like terms: 36X + -64X = -28X
(-48 + -28X + 48X2) = 0

Solving
-48 + -28X + 48X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + -7X + 12X2) = 0

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

Ignore the factor 4.

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 '(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 = {-0.75, 1.333333333}

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