-246+108x^2+2x=0

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Solution for -246+108x^2+2x=0 equation:


Simplifying
-246 + 108x2 + 2x = 0

Reorder the terms:
-246 + 2x + 108x2 = 0

Solving
-246 + 2x + 108x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-123 + x + 54x2) = 0

Factor a trinomial.
2((-41 + -27x)(3 + -2x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-41 + -27x)' equal to zero and attempt to solve: Simplifying -41 + -27x = 0 Solving -41 + -27x = 0 Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -27x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -27x = 0 + 41 -27x = 0 + 41 Combine like terms: 0 + 41 = 41 -27x = 41 Divide each side by '-27'. x = -1.518518519 Simplifying x = -1.518518519

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-1.518518519, 1.5}

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