(x^2+6x-20)=(x^2+2x+50)

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Solution for (x^2+6x-20)=(x^2+2x+50) equation:


Simplifying
(x2 + 6x + -20) = (x2 + 2x + 50)

Reorder the terms:
(-20 + 6x + x2) = (x2 + 2x + 50)

Remove parenthesis around (-20 + 6x + x2)
-20 + 6x + x2 = (x2 + 2x + 50)

Reorder the terms:
-20 + 6x + x2 = (50 + 2x + x2)

Remove parenthesis around (50 + 2x + x2)
-20 + 6x + x2 = 50 + 2x + x2

Add '-1x2' to each side of the equation.
-20 + 6x + x2 + -1x2 = 50 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20 + 6x + 0 = 50 + 2x + x2 + -1x2
-20 + 6x = 50 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20 + 6x = 50 + 2x + 0
-20 + 6x = 50 + 2x

Solving
-20 + 6x = 50 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + 6x + -2x = 50 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-20 + 4x = 50 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 4x = 50 + 0
-20 + 4x = 50

Add '20' to each side of the equation.
-20 + 20 + 4x = 50 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = 50 + 20
4x = 50 + 20

Combine like terms: 50 + 20 = 70
4x = 70

Divide each side by '4'.
x = 17.5

Simplifying
x = 17.5

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