x^2+2x+40=x^2-x+90

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Solution for x^2+2x+40=x^2-x+90 equation:


Simplifying
x2 + 2x + 40 = x2 + -1x + 90

Reorder the terms:
40 + 2x + x2 = x2 + -1x + 90

Reorder the terms:
40 + 2x + x2 = 90 + -1x + x2

Add '-1x2' to each side of the equation.
40 + 2x + x2 + -1x2 = 90 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
40 + 2x + 0 = 90 + -1x + x2 + -1x2
40 + 2x = 90 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
40 + 2x = 90 + -1x + 0
40 + 2x = 90 + -1x

Solving
40 + 2x = 90 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
40 + 2x + x = 90 + -1x + x

Combine like terms: 2x + x = 3x
40 + 3x = 90 + -1x + x

Combine like terms: -1x + x = 0
40 + 3x = 90 + 0
40 + 3x = 90

Add '-40' to each side of the equation.
40 + -40 + 3x = 90 + -40

Combine like terms: 40 + -40 = 0
0 + 3x = 90 + -40
3x = 90 + -40

Combine like terms: 90 + -40 = 50
3x = 50

Divide each side by '3'.
x = 16.66666667

Simplifying
x = 16.66666667

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