-2x^2-4x=-30

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


Simplifying
-2x2 + -4x = -30

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

Solving
-4x + -2x2 = -30

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -2x + -1x2) = 0

Factor a trinomial.
2((3 + -1x)(5 + x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Subproblem 2

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

Solution

x = {3, -5}

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