(-7+x)(3x-11)=

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Solution for (-7+x)(3x-11)= equation: 


Simplifying
(-7 + x)(3x + -11) = 0

Reorder the terms:
(-7 + x)(-11 + 3x) = 0

Multiply (-7 + x) * (-11 + 3x)
(-7(-11 + 3x) + x(-11 + 3x)) = 0
((-11 * -7 + 3x * -7) + x(-11 + 3x)) = 0
((77 + -21x) + x(-11 + 3x)) = 0
(77 + -21x + (-11 * x + 3x * x)) = 0
(77 + -21x + (-11x + 3x2)) = 0

Combine like terms: -21x + -11x = -32x
(77 + -32x + 3x2) = 0

Solving
77 + -32x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -3x)(7 + -1x) = 0


Subproblem 1
Set the factor '(11 + -3x)' equal to zero and attempt to solve:

Simplifying
11 + -3x = 0

Solving
11 + -3x = 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 + -3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 0 + -11
-3x = 0 + -11

Combine like terms: 0 + -11 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {3.666666667, 7}

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