30x(x+2)=3600

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Solution for 30x(x+2)=3600 equation:


Simplifying
30x(x + 2) = 3600

Reorder the terms:
30x(2 + x) = 3600
(2 * 30x + x * 30x) = 3600
(60x + 30x2) = 3600

Solving
60x + 30x2 = 3600

Solving for variable 'x'.

Reorder the terms:
-3600 + 60x + 30x2 = 3600 + -3600

Combine like terms: 3600 + -3600 = 0
-3600 + 60x + 30x2 = 0

Factor out the Greatest Common Factor (GCF), '30'.
30(-120 + 2x + x2) = 0

Factor a trinomial.
30((-12 + -1x)(10 + -1x)) = 0

Ignore the factor 30.

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 '(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 = {-12, 10}

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