s^2+3s-4=s^2+6s+9

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Solution for s^2+3s-4=s^2+6s+9 equation:


Simplifying
s2 + 3s + -4 = s2 + 6s + 9

Reorder the terms:
-4 + 3s + s2 = s2 + 6s + 9

Reorder the terms:
-4 + 3s + s2 = 9 + 6s + s2

Add '-1s2' to each side of the equation.
-4 + 3s + s2 + -1s2 = 9 + 6s + s2 + -1s2

Combine like terms: s2 + -1s2 = 0
-4 + 3s + 0 = 9 + 6s + s2 + -1s2
-4 + 3s = 9 + 6s + s2 + -1s2

Combine like terms: s2 + -1s2 = 0
-4 + 3s = 9 + 6s + 0
-4 + 3s = 9 + 6s

Solving
-4 + 3s = 9 + 6s

Solving for variable 's'.

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

Add '-6s' to each side of the equation.
-4 + 3s + -6s = 9 + 6s + -6s

Combine like terms: 3s + -6s = -3s
-4 + -3s = 9 + 6s + -6s

Combine like terms: 6s + -6s = 0
-4 + -3s = 9 + 0
-4 + -3s = 9

Add '4' to each side of the equation.
-4 + 4 + -3s = 9 + 4

Combine like terms: -4 + 4 = 0
0 + -3s = 9 + 4
-3s = 9 + 4

Combine like terms: 9 + 4 = 13
-3s = 13

Divide each side by '-3'.
s = -4.333333333

Simplifying
s = -4.333333333

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