3x^2+(7)x-(-2)=

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Solution for 3x^2+(7)x-(-2)= equation:


Simplifying
3x2 + (7) * x + -1(-2) = 0

Multiply -1 * -2
3x2 + 7x + 2 = 0

Reorder the terms:
2 + 7x + 3x2 = 0

Solving
2 + 7x + 3x2 = 0

Solving for variable 'x'.

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

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 '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333

Solution

x = {-2, -0.3333333333}

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