(10+x)(3x-11)=0

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Solution for (10+x)(3x-11)=0 equation: 


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

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

Multiply (10 + x) * (-11 + 3x)
(10(-11 + 3x) + x(-11 + 3x)) = 0
((-11 * 10 + 3x * 10) + x(-11 + 3x)) = 0
((-110 + 30x) + x(-11 + 3x)) = 0
(-110 + 30x + (-11 * x + 3x * x)) = 0
(-110 + 30x + (-11x + 3x2)) = 0

Combine like terms: 30x + -11x = 19x
(-110 + 19x + 3x2) = 0

Solving
-110 + 19x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -1x)(11 + -3x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
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
Solution
x = {-10, 3.666666667}

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