-16x^2-40x+9=9

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Solution for -16x^2-40x+9=9 equation: 


Simplifying
-16x2 + -40x + 9 = 9

Reorder the terms:
9 + -40x + -16x2 = 9

Add '-9' to each side of the equation.
9 + -40x + -9 + -16x2 = 9 + -9

Reorder the terms:
9 + -9 + -40x + -16x2 = 9 + -9

Combine like terms: 9 + -9 = 0
0 + -40x + -16x2 = 9 + -9
-40x + -16x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-40x + -16x2 = 0

Solving
-40x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-8x'.
-8x(5 + 2x) = 0

Ignore the factor -8.

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 '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {0, -2.5}

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