8x^2+3x-2=-2

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


Simplifying
8x2 + 3x + -2 = -2

Reorder the terms:
-2 + 3x + 8x2 = -2

Add '2' to each side of the equation.
-2 + 3x + 2 + 8x2 = -2 + 2

Reorder the terms:
-2 + 2 + 3x + 8x2 = -2 + 2

Combine like terms: -2 + 2 = 0
0 + 3x + 8x2 = -2 + 2
3x + 8x2 = -2 + 2

Combine like terms: -2 + 2 = 0
3x + 8x2 = 0

Solving
3x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + 8x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(3 + 8x)' equal to zero and attempt to solve:

Simplifying
3 + 8x = 0

Solving
3 + 8x = 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 + 8x = 0 + -3

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

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

Divide each side by '8'.
x = -0.375

Simplifying
x = -0.375
Solution
x = {0, -0.375}

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