3x^2+12x+17=5

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Solution for 3x^2+12x+17=5 equation:


Simplifying
3x2 + 12x + 17 = 5

Reorder the terms:
17 + 12x + 3x2 = 5

Solving
17 + 12x + 3x2 = 5

Solving for variable 'x'.

Reorder the terms:
17 + -5 + 12x + 3x2 = 5 + -5

Combine like terms: 17 + -5 = 12
12 + 12x + 3x2 = 5 + -5

Combine like terms: 5 + -5 = 0
12 + 12x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + 4x + x2) = 0

Factor a trinomial.
3((2 + x)(2 + x)) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

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

Solution

x = {-2, -2}

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