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

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


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

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

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

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

Combine like terms: -11x + 10x = -1x
3(-110 + -1x + x2) = 0
(-110 * 3 + -1x * 3 + x2 * 3) = 0
(-330 + -3x + 3x2) = 0

Solving
-330 + -3x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-110 + -1x + x2) = 0

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

Ignore the factor 3.

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 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 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 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-10, 11}

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