168+48x-3x^2=60

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Solution for 168+48x-3x^2=60 equation:


Simplifying
168 + 48x + -3x2 = 60

Solving
168 + 48x + -3x2 = 60

Solving for variable 'x'.

Reorder the terms:
168 + -60 + 48x + -3x2 = 60 + -60

Combine like terms: 168 + -60 = 108
108 + 48x + -3x2 = 60 + -60

Combine like terms: 60 + -60 = 0
108 + 48x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(36 + 16x + -1x2) = 0

Factor a trinomial.
3((18 + -1x)(2 + x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {18, -2}

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