13x^2-2x-16=9x^2-2x

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Solution for 13x^2-2x-16=9x^2-2x equation: 


Simplifying
13x2 + -2x + -16 = 9x2 + -2x

Reorder the terms:
-16 + -2x + 13x2 = 9x2 + -2x

Reorder the terms:
-16 + -2x + 13x2 = -2x + 9x2

Add '2x' to each side of the equation.
-16 + -2x + 2x + 13x2 = -2x + 2x + 9x2

Combine like terms: -2x + 2x = 0
-16 + 0 + 13x2 = -2x + 2x + 9x2
-16 + 13x2 = -2x + 2x + 9x2

Combine like terms: -2x + 2x = 0
-16 + 13x2 = 0 + 9x2
-16 + 13x2 = 9x2

Solving
-16 + 13x2 = 9x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x2' to each side of the equation.
-16 + 13x2 + -9x2 = 9x2 + -9x2

Combine like terms: 13x2 + -9x2 = 4x2
-16 + 4x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-16 + 4x2 = 0

Add '16' to each side of the equation.
-16 + 16 + 4x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 4x2 = 0 + 16
4x2 = 0 + 16

Combine like terms: 0 + 16 = 16
4x2 = 16

Divide each side by '4'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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