3x^2-x-2=100

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Solution for 3x^2-x-2=100 equation:


Simplifying
3x2 + -1x + -2 = 100

Reorder the terms:
-2 + -1x + 3x2 = 100

Solving
-2 + -1x + 3x2 = 100

Solving for variable 'x'.

Reorder the terms:
-2 + -100 + -1x + 3x2 = 100 + -100

Combine like terms: -2 + -100 = -102
-102 + -1x + 3x2 = 100 + -100

Combine like terms: 100 + -100 = 0
-102 + -1x + 3x2 = 0

Factor a trinomial.
(-17 + -3x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-17 + -3x)' equal to zero and attempt to solve: Simplifying -17 + -3x = 0 Solving -17 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -3x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = 0 + 17 -3x = 0 + 17 Combine like terms: 0 + 17 = 17 -3x = 17 Divide each side by '-3'. x = -5.666666667 Simplifying x = -5.666666667

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {-5.666666667, 6}

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