2x^2+x-351=0equatio

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Solution for 2x^2+x-351=0equatio equation:


Simplifying
2x2 + x + -351 = 0equatio

Reorder the terms:
-351 + x + 2x2 = 0equatio

Anything times zero is zero.
-351 + x + 2x2 = 0aeioqtu

Solving
-351 + x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-27 + -2x)(13 + -1x) = 0

Subproblem 1

Set the factor '(-27 + -2x)' equal to zero and attempt to solve: Simplifying -27 + -2x = 0 Solving -27 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -2x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = 0 + 27 -2x = 0 + 27 Combine like terms: 0 + 27 = 27 -2x = 27 Divide each side by '-2'. x = -13.5 Simplifying x = -13.5

Subproblem 2

Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13

Solution

x = {-13.5, 13}

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