3x(x+3)=324

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Solution for 3x(x+3)=324 equation:


Simplifying
3x(x + 3) = 324

Reorder the terms:
3x(3 + x) = 324
(3 * 3x + x * 3x) = 324
(9x + 3x2) = 324

Solving
9x + 3x2 = 324

Solving for variable 'x'.

Reorder the terms:
-324 + 9x + 3x2 = 324 + -324

Combine like terms: 324 + -324 = 0
-324 + 9x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-108 + 3x + x2) = 0

Factor a trinomial.
3((-12 + -1x)(9 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-12, 9}

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