3xsq+34x-10=-xsq-40

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Solution for 3xsq+34x-10=-xsq-40 equation:


Simplifying
3xsq + 34x + -10 = -1xsq + -40

Reorder the terms:
-10 + 3qsx + 34x = -1xsq + -40

Reorder the terms:
-10 + 3qsx + 34x = -40 + -1qsx

Solving
-10 + 3qsx + 34x = -40 + -1qsx

Solving for variable 'q'.

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

Add 'qsx' to each side of the equation.
-10 + 3qsx + qsx + 34x = -40 + -1qsx + qsx

Combine like terms: 3qsx + qsx = 4qsx
-10 + 4qsx + 34x = -40 + -1qsx + qsx

Combine like terms: -1qsx + qsx = 0
-10 + 4qsx + 34x = -40 + 0
-10 + 4qsx + 34x = -40

Add '10' to each side of the equation.
-10 + 4qsx + 10 + 34x = -40 + 10

Reorder the terms:
-10 + 10 + 4qsx + 34x = -40 + 10

Combine like terms: -10 + 10 = 0
0 + 4qsx + 34x = -40 + 10
4qsx + 34x = -40 + 10

Combine like terms: -40 + 10 = -30
4qsx + 34x = -30

Add '-34x' to each side of the equation.
4qsx + 34x + -34x = -30 + -34x

Combine like terms: 34x + -34x = 0
4qsx + 0 = -30 + -34x
4qsx = -30 + -34x

Divide each side by '4sx'.
q = -7.5s-1x-1 + -8.5s-1

Simplifying
q = -7.5s-1x-1 + -8.5s-1

Reorder the terms:
q = -8.5s-1 + -7.5s-1x-1

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