x^2+4x=x(x+2)+10

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Solution for x^2+4x=x(x+2)+10 equation:


Simplifying
x2 + 4x = x(x + 2) + 10

Reorder the terms:
4x + x2 = x(x + 2) + 10

Reorder the terms:
4x + x2 = x(2 + x) + 10
4x + x2 = (2 * x + x * x) + 10
4x + x2 = (2x + x2) + 10

Reorder the terms:
4x + x2 = 10 + 2x + x2

Add '-1x2' to each side of the equation.
4x + x2 + -1x2 = 10 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4x + 0 = 10 + 2x + x2 + -1x2
4x = 10 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4x = 10 + 2x + 0
4x = 10 + 2x

Solving
4x = 10 + 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.
4x + -2x = 10 + 2x + -2x

Combine like terms: 4x + -2x = 2x
2x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
2x = 10 + 0
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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