(4x-11)(8x-6)=

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Solution for (4x-11)(8x-6)= equation: 


Simplifying
(4x + -11)(8x + -6) = 0

Reorder the terms:
(-11 + 4x)(8x + -6) = 0

Reorder the terms:
(-11 + 4x)(-6 + 8x) = 0

Multiply (-11 + 4x) * (-6 + 8x)
(-11(-6 + 8x) + 4x * (-6 + 8x)) = 0
((-6 * -11 + 8x * -11) + 4x * (-6 + 8x)) = 0
((66 + -88x) + 4x * (-6 + 8x)) = 0
(66 + -88x + (-6 * 4x + 8x * 4x)) = 0
(66 + -88x + (-24x + 32x2)) = 0

Combine like terms: -88x + -24x = -112x
(66 + -112x + 32x2) = 0

Solving
66 + -112x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(33 + -56x + 16x2) = 0

Factor a trinomial.
2((3 + -4x)(11 + -4x)) = 0

Ignore the factor 2.

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 '(11 + -4x)' equal to zero and attempt to solve:

Simplifying
11 + -4x = 0

Solving
11 + -4x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -4x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = 0 + -11
-4x = 0 + -11

Combine like terms: 0 + -11 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75
Solution
x = {0.75, 2.75}

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