x^2-1x-20=2x^2-1x-45

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Solution for x^2-1x-20=2x^2-1x-45 equation: 


Simplifying
x2 + -1x + -20 = 2x2 + -1x + -45

Reorder the terms:
-20 + -1x + x2 = 2x2 + -1x + -45

Reorder the terms:
-20 + -1x + x2 = -45 + -1x + 2x2

Add 'x' to each side of the equation.
-20 + -1x + x + x2 = -45 + -1x + x + 2x2

Combine like terms: -1x + x = 0
-20 + 0 + x2 = -45 + -1x + x + 2x2
-20 + x2 = -45 + -1x + x + 2x2

Combine like terms: -1x + x = 0
-20 + x2 = -45 + 0 + 2x2
-20 + x2 = -45 + 2x2

Solving
-20 + x2 = -45 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-20 + x2 + -2x2 = -45 + 2x2 + -2x2

Combine like terms: x2 + -2x2 = -1x2
-20 + -1x2 = -45 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-20 + -1x2 = -45 + 0
-20 + -1x2 = -45

Add '20' to each side of the equation.
-20 + 20 + -1x2 = -45 + 20

Combine like terms: -20 + 20 = 0
0 + -1x2 = -45 + 20
-1x2 = -45 + 20

Combine like terms: -45 + 20 = -25
-1x2 = -25

Divide each side by '-1'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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