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Algebra answers & show work plz

3x^2-14x+8=0

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Solution for 3x^2+14x+8=0 equation:
Simplifying
3x2 + 14x + 8 = 0

Reorder the terms:
8 + 14x + 3x2 = 0

Solving
8 + 14x + 3x2 = 0

Solving for variable 'x'.

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

Subproblem 1Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Subproblem 2Set 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 = -0.6666666667Solutionx = {-4, -0.6666666667}

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Oops! Line 7: you should have - signs
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3x^2 - 14x + 8 = 0
(3x - 2)(x - 4) = 0
3x - 2 = 0 or x - 4 = 0
+ 2. +2. + 4. +4
3x = 2. x = 4
/3. /3 x = 4
x = 2/3. x = 4
So x = 2/3 or 4 ANSWERS