2x(x+5)=10x+50

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Solution for 2x(x+5)=10x+50 equation: 


Simplifying
2x(x + 5) = 10x + 50

Reorder the terms:
2x(5 + x) = 10x + 50
(5 * 2x + x * 2x) = 10x + 50
(10x + 2x2) = 10x + 50

Reorder the terms:
10x + 2x2 = 50 + 10x

Add '-10x' to each side of the equation.
10x + -10x + 2x2 = 50 + 10x + -10x

Combine like terms: 10x + -10x = 0
0 + 2x2 = 50 + 10x + -10x
2x2 = 50 + 10x + -10x

Combine like terms: 10x + -10x = 0
2x2 = 50 + 0
2x2 = 50

Solving
2x2 = 50

Solving for variable 'x'.

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

Divide each side by '2'.
x2 = 25

Simplifying
x2 = 25

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

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