q^2+-7.5q+25=-1q^2+-7.5q

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Solution for q^2+-7.5q+25=-1q^2+-7.5q equation:


Simplifying
q2 + -7.5q + 25 = -1q2 + -7.5q

Reorder the terms:
25 + -7.5q + q2 = -1q2 + -7.5q

Reorder the terms:
25 + -7.5q + q2 = -7.5q + -1q2

Add '7.5q' to each side of the equation.
25 + -7.5q + 7.5q + q2 = -7.5q + 7.5q + -1q2

Combine like terms: -7.5q + 7.5q = 0.0
25 + 0.0 + q2 = -7.5q + 7.5q + -1q2
25 + q2 = -7.5q + 7.5q + -1q2

Combine like terms: -7.5q + 7.5q = 0.0
25 + q2 = 0.0 + -1q2
25 + q2 = -1q2

Solving
25 + q2 = -1q2

Solving for variable 'q'.

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

Add 'q2' to each side of the equation.
25 + q2 + q2 = -1q2 + q2

Combine like terms: q2 + q2 = 2q2
25 + 2q2 = -1q2 + q2

Combine like terms: -1q2 + q2 = 0
25 + 2q2 = 0

Add '-25' to each side of the equation.
25 + -25 + 2q2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 2q2 = 0 + -25
2q2 = 0 + -25

Combine like terms: 0 + -25 = -25
2q2 = -25

Divide each side by '2'.
q2 = -12.5

Simplifying
q2 = -12.5

Reorder the terms:
12.5 + q2 = -12.5 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
12.5 + q2 = 0.0

The solution to this equation could not be determined.

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