x^2+10x+25-3x+15=

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Solution for x^2+10x+25-3x+15= equation:


Simplifying
x2 + 10x + 25 + -3x + 15 = 0

Reorder the terms:
25 + 15 + 10x + -3x + x2 = 0

Combine like terms: 25 + 15 = 40
40 + 10x + -3x + x2 = 0

Combine like terms: 10x + -3x = 7x
40 + 7x + x2 = 0

Solving
40 + 7x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + 7x + -40 + x2 = 0 + -40

Reorder the terms:
40 + -40 + 7x + x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 7x + x2 = 0 + -40
7x + x2 = 0 + -40

Combine like terms: 0 + -40 = -40
7x + x2 = -40

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = -40 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -40 + 12.25

Combine like terms: -40 + 12.25 = -27.75
12.25 + 7x + x2 = -27.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -27.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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