-3x^2-6x+11=14

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Solution for -3x^2-6x+11=14 equation:


Simplifying
-3x2 + -6x + 11 = 14

Reorder the terms:
11 + -6x + -3x2 = 14

Solving
11 + -6x + -3x2 = 14

Solving for variable 'x'.

Reorder the terms:
11 + -14 + -6x + -3x2 = 14 + -14

Combine like terms: 11 + -14 = -3
-3 + -6x + -3x2 = 14 + -14

Combine like terms: 14 + -14 = 0
-3 + -6x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-3'.
-3(1 + 2x + x2) = 0

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

Ignore the factor -3.

Subproblem 1

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {-1, -1}

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