3x(x-11)=-30

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Solution for 3x(x-11)=-30 equation:


Simplifying
3x(x + -11) = -30

Reorder the terms:
3x(-11 + x) = -30
(-11 * 3x + x * 3x) = -30
(-33x + 3x2) = -30

Solving
-33x + 3x2 = -30

Solving for variable 'x'.

Reorder the terms:
30 + -33x + 3x2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + -33x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + -11x + x2) = 0

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

Ignore the factor 3.

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 '(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

Solution

x = {1, 10}

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