0=2(x*x)+32x

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Solution for 0=2(x*x)+32x equation:


Simplifying
0 = 2(x * x) + 32x

Multiply x * x
0 = 2(x2) + 32x

Reorder the terms:
0 = 32x + 2x2

Solving
0 = 32x + 2x2

Solving for variable 'x'.
Remove the zero:
-32x + -2x2 = 32x + 2x2 + -32x + -2x2

Reorder the terms:
-32x + -2x2 = 32x + -32x + 2x2 + -2x2

Combine like terms: 32x + -32x = 0
-32x + -2x2 = 0 + 2x2 + -2x2
-32x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-32x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(16 + 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 '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16

Solution

x = {0, -16}

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