0=2x^2+11x-6

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Solution for 0=2x^2+11x-6 equation:


Simplifying
0 = 2x2 + 11x + -6

Reorder the terms:
0 = -6 + 11x + 2x2

Solving
0 = -6 + 11x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 6 = 6
6 + -11x + -2x2 = -6 + 11x + 2x2 + 6 + -11x + -2x2

Reorder the terms:
6 + -11x + -2x2 = -6 + 6 + 11x + -11x + 2x2 + -2x2

Combine like terms: -6 + 6 = 0
6 + -11x + -2x2 = 0 + 11x + -11x + 2x2 + -2x2
6 + -11x + -2x2 = 11x + -11x + 2x2 + -2x2

Combine like terms: 11x + -11x = 0
6 + -11x + -2x2 = 0 + 2x2 + -2x2
6 + -11x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6 + -11x + -2x2 = 0

Factor a trinomial.
(1 + -2x)(6 + x) = 0

Subproblem 1

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Subproblem 2

Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

Solution

x = {0.5, -6}

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