=(6x-5)(4x-11)

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Solution for =(6x-5)(4x-11) equation: 


Simplifying
0 = (6x + -5)(4x + -11)

Reorder the terms:
0 = (-5 + 6x)(4x + -11)

Reorder the terms:
0 = (-5 + 6x)(-11 + 4x)

Multiply (-5 + 6x) * (-11 + 4x)
0 = (-5(-11 + 4x) + 6x * (-11 + 4x))
0 = ((-11 * -5 + 4x * -5) + 6x * (-11 + 4x))
0 = ((55 + -20x) + 6x * (-11 + 4x))
0 = (55 + -20x + (-11 * 6x + 4x * 6x))
0 = (55 + -20x + (-66x + 24x2))

Combine like terms: -20x + -66x = -86x
0 = (55 + -86x + 24x2)

Solving
0 = 55 + -86x + 24x2

Solving for variable 'x'.

Combine like terms: 0 + -55 = -55
-55 + 86x + -24x2 = 55 + -86x + 24x2 + -55 + 86x + -24x2

Reorder the terms:
-55 + 86x + -24x2 = 55 + -55 + -86x + 86x + 24x2 + -24x2

Combine like terms: 55 + -55 = 0
-55 + 86x + -24x2 = 0 + -86x + 86x + 24x2 + -24x2
-55 + 86x + -24x2 = -86x + 86x + 24x2 + -24x2

Combine like terms: -86x + 86x = 0
-55 + 86x + -24x2 = 0 + 24x2 + -24x2
-55 + 86x + -24x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
-55 + 86x + -24x2 = 0

Factor a trinomial.
(-11 + 4x)(5 + -6x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333
Solution
x = {2.75, 0.8333333333}

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