(4x-11)(x-1)=

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Solution for (4x-11)(x-1)= equation: 


Simplifying
(4x + -11)(x + -1) = 0

Reorder the terms:
(-11 + 4x)(x + -1) = 0

Reorder the terms:
(-11 + 4x)(-1 + x) = 0

Multiply (-11 + 4x) * (-1 + x)
(-11(-1 + x) + 4x * (-1 + x)) = 0
((-1 * -11 + x * -11) + 4x * (-1 + x)) = 0
((11 + -11x) + 4x * (-1 + x)) = 0
(11 + -11x + (-1 * 4x + x * 4x)) = 0
(11 + -11x + (-4x + 4x2)) = 0

Combine like terms: -11x + -4x = -15x
(11 + -15x + 4x2) = 0

Solving
11 + -15x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(11 + -4x) = 0


Subproblem 1
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

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 = {1, 2.75}

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