2x^2+4x-30=-30

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Solution for 2x^2+4x-30=-30 equation: 


Simplifying
2x2 + 4x + -30 = -30

Reorder the terms:
-30 + 4x + 2x2 = -30

Add '30' to each side of the equation.
-30 + 4x + 30 + 2x2 = -30 + 30

Reorder the terms:
-30 + 30 + 4x + 2x2 = -30 + 30

Combine like terms: -30 + 30 = 0
0 + 4x + 2x2 = -30 + 30
4x + 2x2 = -30 + 30

Combine like terms: -30 + 30 = 0
4x + 2x2 = 0

Solving
4x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(2 + x) = 0

Ignore the factor 2.

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 '(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
Solution
x = {0, -2}

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