0=3x^2+8x-3

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Solution for 0=3x^2+8x-3 equation:


Simplifying
0 = 3x2 + 8x + -3

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

Solving
0 = -3 + 8x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 3 = 3
3 + -8x + -3x2 = -3 + 8x + 3x2 + 3 + -8x + -3x2

Reorder the terms:
3 + -8x + -3x2 = -3 + 3 + 8x + -8x + 3x2 + -3x2

Combine like terms: -3 + 3 = 0
3 + -8x + -3x2 = 0 + 8x + -8x + 3x2 + -3x2
3 + -8x + -3x2 = 8x + -8x + 3x2 + -3x2

Combine like terms: 8x + -8x = 0
3 + -8x + -3x2 = 0 + 3x2 + -3x2
3 + -8x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
3 + -8x + -3x2 = 0

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

Subproblem 1

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

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {0.3333333333, -3}

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