50x^2+150=40x^2+250

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Solution for 50x^2+150=40x^2+250 equation:


Simplifying
50x2 + 150 = 40x2 + 250

Reorder the terms:
150 + 50x2 = 40x2 + 250

Reorder the terms:
150 + 50x2 = 250 + 40x2

Solving
150 + 50x2 = 250 + 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.
150 + 50x2 + -40x2 = 250 + 40x2 + -40x2

Combine like terms: 50x2 + -40x2 = 10x2
150 + 10x2 = 250 + 40x2 + -40x2

Combine like terms: 40x2 + -40x2 = 0
150 + 10x2 = 250 + 0
150 + 10x2 = 250

Add '-150' to each side of the equation.
150 + -150 + 10x2 = 250 + -150

Combine like terms: 150 + -150 = 0
0 + 10x2 = 250 + -150
10x2 = 250 + -150

Combine like terms: 250 + -150 = 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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