3x^2-x-154=0

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Solution for 3x^2-x-154=0 equation:


Simplifying
3x2 + -1x + -154 = 0

Reorder the terms:
-154 + -1x + 3x2 = 0

Solving
-154 + -1x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -1x)(22 + -3x) = 0

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(22 + -3x)' equal to zero and attempt to solve: Simplifying 22 + -3x = 0 Solving 22 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -3x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = 0 + -22 -3x = 0 + -22 Combine like terms: 0 + -22 = -22 -3x = -22 Divide each side by '-3'. x = 7.333333333 Simplifying x = 7.333333333

Solution

x = {-7, 7.333333333}

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