(x^2+4x+4)-(x^2-6x+9)=

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Solution for (x^2+4x+4)-(x^2-6x+9)= equation:


Simplifying
(x2 + 4x + 4) + -1(x2 + -6x + 9) = 0

Reorder the terms:
(4 + 4x + x2) + -1(x2 + -6x + 9) = 0

Remove parenthesis around (4 + 4x + x2)
4 + 4x + x2 + -1(x2 + -6x + 9) = 0

Reorder the terms:
4 + 4x + x2 + -1(9 + -6x + x2) = 0
4 + 4x + x2 + (9 * -1 + -6x * -1 + x2 * -1) = 0
4 + 4x + x2 + (-9 + 6x + -1x2) = 0

Reorder the terms:
4 + -9 + 4x + 6x + x2 + -1x2 = 0

Combine like terms: 4 + -9 = -5
-5 + 4x + 6x + x2 + -1x2 = 0

Combine like terms: 4x + 6x = 10x
-5 + 10x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
-5 + 10x + 0 = 0
-5 + 10x = 0

Solving
-5 + 10x = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 10x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 10x = 0 + 5
10x = 0 + 5

Combine like terms: 0 + 5 = 5
10x = 5

Divide each side by '10'.
x = 0.5

Simplifying
x = 0.5

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