(s+6)(s-3)=s^2+3s-18

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Solution for (s+6)(s-3)=s^2+3s-18 equation:


Simplifying
(s + 6)(s + -3) = s2 + 3s + -18

Reorder the terms:
(6 + s)(s + -3) = s2 + 3s + -18

Reorder the terms:
(6 + s)(-3 + s) = s2 + 3s + -18

Multiply (6 + s) * (-3 + s)
(6(-3 + s) + s(-3 + s)) = s2 + 3s + -18
((-3 * 6 + s * 6) + s(-3 + s)) = s2 + 3s + -18
((-18 + 6s) + s(-3 + s)) = s2 + 3s + -18
(-18 + 6s + (-3 * s + s * s)) = s2 + 3s + -18
(-18 + 6s + (-3s + s2)) = s2 + 3s + -18

Combine like terms: 6s + -3s = 3s
(-18 + 3s + s2) = s2 + 3s + -18

Reorder the terms:
-18 + 3s + s2 = -18 + 3s + s2

Add '18' to each side of the equation.
-18 + 3s + 18 + s2 = -18 + 3s + 18 + s2

Reorder the terms:
-18 + 18 + 3s + s2 = -18 + 3s + 18 + s2

Combine like terms: -18 + 18 = 0
0 + 3s + s2 = -18 + 3s + 18 + s2
3s + s2 = -18 + 3s + 18 + s2

Reorder the terms:
3s + s2 = -18 + 18 + 3s + s2

Combine like terms: -18 + 18 = 0
3s + s2 = 0 + 3s + s2
3s + s2 = 3s + s2

Add '-3s' to each side of the equation.
3s + -3s + s2 = 3s + -3s + s2

Combine like terms: 3s + -3s = 0
0 + s2 = 3s + -3s + s2
s2 = 3s + -3s + s2

Combine like terms: 3s + -3s = 0
s2 = 0 + s2
s2 = s2

Add '-1s2' to each side of the equation.
s2 + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
0 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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