3x*x+17x+5=-5

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Solution for 3x*x+17x+5=-5 equation:


Simplifying
3x * x + 17x + 5 = -5

Multiply x * x
3x2 + 17x + 5 = -5

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

Solving
5 + 17x + 3x2 = -5

Solving for variable 'x'.

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

Combine like terms: 5 + 5 = 10
10 + 17x + 3x2 = -5 + 5

Combine like terms: -5 + 5 = 0
10 + 17x + 3x2 = 0

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

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 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 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667

Solution

x = {-5, -0.6666666667}

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