120x+x^2=3456

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Solution for 120x+x^2=3456 equation:


Simplifying
120x + x2 = 3456

Solving
120x + x2 = 3456

Solving for variable 'x'.

Reorder the terms:
-3456 + 120x + x2 = 3456 + -3456

Combine like terms: 3456 + -3456 = 0
-3456 + 120x + x2 = 0

Factor a trinomial.
(-144 + -1x)(24 + -1x) = 0

Subproblem 1

Set the factor '(-144 + -1x)' equal to zero and attempt to solve: Simplifying -144 + -1x = 0 Solving -144 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '144' to each side of the equation. -144 + 144 + -1x = 0 + 144 Combine like terms: -144 + 144 = 0 0 + -1x = 0 + 144 -1x = 0 + 144 Combine like terms: 0 + 144 = 144 -1x = 144 Divide each side by '-1'. x = -144 Simplifying x = -144

Subproblem 2

Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24

Solution

x = {-144, 24}

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