50x^2+250=40x^2+350

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Solution for 50x^2+250=40x^2+350 equation: 


Simplifying
50x2 + 250 = 40x2 + 350

Reorder the terms:
250 + 50x2 = 40x2 + 350

Reorder the terms:
250 + 50x2 = 350 + 40x2

Solving
250 + 50x2 = 350 + 40x2

Solving for variable 'x'.

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

Add '-40x2' to each side of the equation.
250 + 50x2 + -40x2 = 350 + 40x2 + -40x2

Combine like terms: 50x2 + -40x2 = 10x2
250 + 10x2 = 350 + 40x2 + -40x2

Combine like terms: 40x2 + -40x2 = 0
250 + 10x2 = 350 + 0
250 + 10x2 = 350

Add '-250' to each side of the equation.
250 + -250 + 10x2 = 350 + -250

Combine like terms: 250 + -250 = 0
0 + 10x2 = 350 + -250
10x2 = 350 + -250

Combine like terms: 350 + -250 = 100
10x2 = 100

Divide each side by '10'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}

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