3x^2+22x+2=-33

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Solution for 3x^2+22x+2=-33 equation:


Simplifying
3x2 + 22x + 2 = -33

Reorder the terms:
2 + 22x + 3x2 = -33

Solving
2 + 22x + 3x2 = -33

Solving for variable 'x'.

Reorder the terms:
2 + 33 + 22x + 3x2 = -33 + 33

Combine like terms: 2 + 33 = 35
35 + 22x + 3x2 = -33 + 33

Combine like terms: -33 + 33 = 0
35 + 22x + 3x2 = 0

Factor a trinomial.
(5 + x)(7 + 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 '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333

Solution

x = {-5, -2.333333333}

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