x^2+900=x^2+20x+100

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Solution for x^2+900=x^2+20x+100 equation:


Simplifying
x2 + 900 = x2 + 20x + 100

Reorder the terms:
900 + x2 = x2 + 20x + 100

Reorder the terms:
900 + x2 = 100 + 20x + x2

Add '-1x2' to each side of the equation.
900 + x2 + -1x2 = 100 + 20x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
900 + 0 = 100 + 20x + x2 + -1x2
900 = 100 + 20x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
900 = 100 + 20x + 0
900 = 100 + 20x

Solving
900 = 100 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
900 + -20x = 100 + 20x + -20x

Combine like terms: 20x + -20x = 0
900 + -20x = 100 + 0
900 + -20x = 100

Add '-900' to each side of the equation.
900 + -900 + -20x = 100 + -900

Combine like terms: 900 + -900 = 0
0 + -20x = 100 + -900
-20x = 100 + -900

Combine like terms: 100 + -900 = -800
-20x = -800

Divide each side by '-20'.
x = 40

Simplifying
x = 40

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