(x^2+10x+25)+3=(x^2-4x+4)

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Solution for (x^2+10x+25)+3=(x^2-4x+4) equation:


Simplifying
(x2 + 10x + 25) + 3 = (x2 + -4x + 4)

Reorder the terms:
(25 + 10x + x2) + 3 = (x2 + -4x + 4)

Remove parenthesis around (25 + 10x + x2)
25 + 10x + x2 + 3 = (x2 + -4x + 4)

Reorder the terms:
25 + 3 + 10x + x2 = (x2 + -4x + 4)

Combine like terms: 25 + 3 = 28
28 + 10x + x2 = (x2 + -4x + 4)

Reorder the terms:
28 + 10x + x2 = (4 + -4x + x2)

Remove parenthesis around (4 + -4x + x2)
28 + 10x + x2 = 4 + -4x + x2

Add '-1x2' to each side of the equation.
28 + 10x + x2 + -1x2 = 4 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
28 + 10x + 0 = 4 + -4x + x2 + -1x2
28 + 10x = 4 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
28 + 10x = 4 + -4x + 0
28 + 10x = 4 + -4x

Solving
28 + 10x = 4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
28 + 10x + 4x = 4 + -4x + 4x

Combine like terms: 10x + 4x = 14x
28 + 14x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
28 + 14x = 4 + 0
28 + 14x = 4

Add '-28' to each side of the equation.
28 + -28 + 14x = 4 + -28

Combine like terms: 28 + -28 = 0
0 + 14x = 4 + -28
14x = 4 + -28

Combine like terms: 4 + -28 = -24
14x = -24

Divide each side by '14'.
x = -1.714285714

Simplifying
x = -1.714285714

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