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

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


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

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

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

Solving
15 + 10x + x2 = -15 + 3x

Solving for variable 'x'.

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

Combine like terms: 15 + 15 = 30
30 + 10x + -3x + x2 = -15 + 3x + 15 + -3x

Combine like terms: 10x + -3x = 7x
30 + 7x + x2 = -15 + 3x + 15 + -3x

Reorder the terms:
30 + 7x + x2 = -15 + 15 + 3x + -3x

Combine like terms: -15 + 15 = 0
30 + 7x + x2 = 0 + 3x + -3x
30 + 7x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
30 + 7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + 7x + -30 + x2 = 0 + -30

Reorder the terms:
30 + -30 + 7x + x2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 7x + x2 = 0 + -30
7x + x2 = 0 + -30

Combine like terms: 0 + -30 = -30
7x + x2 = -30

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 = -30 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -30 + 12.25

Combine like terms: -30 + 12.25 = -17.75
12.25 + 7x + x2 = -17.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -17.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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