6x+25=x^2+6x+9

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Solution for 6x+25=x^2+6x+9 equation: 


Simplifying
6x + 25 = x2 + 6x + 9

Reorder the terms:
25 + 6x = x2 + 6x + 9

Reorder the terms:
25 + 6x = 9 + 6x + x2

Add '-6x' to each side of the equation.
25 + 6x + -6x = 9 + 6x + -6x + x2

Combine like terms: 6x + -6x = 0
25 + 0 = 9 + 6x + -6x + x2
25 = 9 + 6x + -6x + x2

Combine like terms: 6x + -6x = 0
25 = 9 + 0 + x2
25 = 9 + x2

Solving
25 = 9 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
25 + -1x2 = 9 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + -1x2 = 9 + 0
25 + -1x2 = 9

Add '-25' to each side of the equation.
25 + -25 + -1x2 = 9 + -25

Combine like terms: 25 + -25 = 0
0 + -1x2 = 9 + -25
-1x2 = 9 + -25

Combine like terms: 9 + -25 = -16
-1x2 = -16

Divide each side by '-1'.
x2 = 16

Simplifying
x2 = 16

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

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