-4r^2-23-r=9-r-6r^2

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Solution for -4r^2-23-r=9-r-6r^2 equation: 


Simplifying
-4r2 + -23 + -1r = 9 + -1r + -6r2

Reorder the terms:
-23 + -1r + -4r2 = 9 + -1r + -6r2

Add 'r' to each side of the equation.
-23 + -1r + r + -4r2 = 9 + -1r + r + -6r2

Combine like terms: -1r + r = 0
-23 + 0 + -4r2 = 9 + -1r + r + -6r2
-23 + -4r2 = 9 + -1r + r + -6r2

Combine like terms: -1r + r = 0
-23 + -4r2 = 9 + 0 + -6r2
-23 + -4r2 = 9 + -6r2

Solving
-23 + -4r2 = 9 + -6r2

Solving for variable 'r'.

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

Add '6r2' to each side of the equation.
-23 + -4r2 + 6r2 = 9 + -6r2 + 6r2

Combine like terms: -4r2 + 6r2 = 2r2
-23 + 2r2 = 9 + -6r2 + 6r2

Combine like terms: -6r2 + 6r2 = 0
-23 + 2r2 = 9 + 0
-23 + 2r2 = 9

Add '23' to each side of the equation.
-23 + 23 + 2r2 = 9 + 23

Combine like terms: -23 + 23 = 0
0 + 2r2 = 9 + 23
2r2 = 9 + 23

Combine like terms: 9 + 23 = 32
2r2 = 32

Divide each side by '2'.
r2 = 16

Simplifying
r2 = 16

Take the square root of each side:
r = {-4, 4}

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