3x^2-16x-7=-7

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Solution for 3x^2-16x-7=-7 equation: 


Simplifying
3x2 + -16x + -7 = -7

Reorder the terms:
-7 + -16x + 3x2 = -7

Add '7' to each side of the equation.
-7 + -16x + 7 + 3x2 = -7 + 7

Reorder the terms:
-7 + 7 + -16x + 3x2 = -7 + 7

Combine like terms: -7 + 7 = 0
0 + -16x + 3x2 = -7 + 7
-16x + 3x2 = -7 + 7

Combine like terms: -7 + 7 = 0
-16x + 3x2 = 0

Solving
-16x + 3x2 = 0

Solving for variable 'x'.

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


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 + 3x)' equal to zero and attempt to solve:

Simplifying
-16 + 3x = 0

Solving
-16 + 3x = 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 + 3x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = 0 + 16
3x = 0 + 16

Combine like terms: 0 + 16 = 16
3x = 16

Divide each side by '3'.
x = 5.333333333

Simplifying
x = 5.333333333
Solution
x = {0, 5.333333333}

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