What is the answer to (m+7)^2=m^2+22m+9 ?

The answer to (m+7)^2=m^2+22m+9 is m=5

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(m+7)^2=m^2+22m+9

(m + 7)^{2} = m^{2} + 22 m + 9

m = 5

Solution steps

(m + 7)^{2} = m^{2} + 22 m + 9

Expand

(m + 7)^{2} : m^{2} + 14 m + 49

m^{2} + 14 m + 49 = m^{2} + 22 m + 9

Move

49

to the right side

m^{2} + 14 m = m^{2} + 22 m - 40

Subtract

m^{2} + 22 m

from both sides

m^{2} + 14 m - (m^{2} + 22 m) = m^{2} + 22 m - 40 - (m^{2} + 22 m)

Simplify

- 8 m = - 40

Divide both sides by

- 8

m = 5

a, a (1)^{2} + b (1) - 1 = - 2

x, y = f - 2

x, y = f - 1

8 u - 11 = 6 u - 5

B, 3 q = \frac{B}{g - h}

What is the answer to (m+7)^2=m^2+22m+9 ?
The answer to (m+7)^2=m^2+22m+9 is m=5
Solve for m: (m+7)^2=m^2+22m+9
The solution is m=5