-16x^2-48x-32=0

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Solution for -16x^2-48x-32=0 equation:


Simplifying
-16x2 + -48x + -32 = 0

Reorder the terms:
-32 + -48x + -16x2 = 0

Solving
-32 + -48x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-16'.
-16(2 + 3x + x2) = 0

Factor a trinomial.
-16((2 + x)(1 + x)) = 0

Ignore the factor -16.

Subproblem 1

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

Subproblem 2

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

Solution

x = {-2, -1}

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