2*x*x-x-66=0

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Solution for 2*x*x-x-66=0 equation:


Simplifying
2x * x + -1x + -66 = 0

Multiply x * x
2x2 + -1x + -66 = 0

Reorder the terms:
-66 + -1x + 2x2 = 0

Solving
-66 + -1x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -2x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5

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 = {-5.5, 6}

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