33x(x+5)=9900

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Solution for 33x(x+5)=9900 equation:


Simplifying
33x(x + 5) = 9900

Reorder the terms:
33x(5 + x) = 9900
(5 * 33x + x * 33x) = 9900
(165x + 33x2) = 9900

Solving
165x + 33x2 = 9900

Solving for variable 'x'.

Reorder the terms:
-9900 + 165x + 33x2 = 9900 + -9900

Combine like terms: 9900 + -9900 = 0
-9900 + 165x + 33x2 = 0

Factor out the Greatest Common Factor (GCF), '33'.
33(-300 + 5x + x2) = 0

Factor a trinomial.
33((-20 + -1x)(15 + -1x)) = 0

Ignore the factor 33.

Subproblem 1

Set the factor '(-20 + -1x)' equal to zero and attempt to solve: Simplifying -20 + -1x = 0 Solving -20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 0 + 20 -1x = 0 + 20 Combine like terms: 0 + 20 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20

Subproblem 2

Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15

Solution

x = {-20, 15}

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