3x^2-36x=-60

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Solution for 3x^2-36x=-60 equation:


Simplifying
3x2 + -36x = -60

Reorder the terms:
-36x + 3x2 = -60

Solving
-36x + 3x2 = -60

Solving for variable 'x'.

Reorder the terms:
60 + -36x + 3x2 = -60 + 60

Combine like terms: -60 + 60 = 0
60 + -36x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(20 + -12x + x2) = 0

Factor a trinomial.
3((2 + -1x)(10 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

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 = {2, 10}

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