2x^2+5x=5x+50

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Solution for 2x^2+5x=5x+50 equation: 


Simplifying
2x2 + 5x = 5x + 50

Reorder the terms:
5x + 2x2 = 5x + 50

Reorder the terms:
5x + 2x2 = 50 + 5x

Add '-5x' to each side of the equation.
5x + -5x + 2x2 = 50 + 5x + -5x

Combine like terms: 5x + -5x = 0
0 + 2x2 = 50 + 5x + -5x
2x2 = 50 + 5x + -5x

Combine like terms: 5x + -5x = 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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