200-3x^2=50-90+1000+4x^2

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Solution for 200-3x^2=50-90+1000+4x^2 equation:


Simplifying
200 + -3x2 = 50 + -90 + 1000 + 4x2

Combine like terms: 50 + -90 = -40
200 + -3x2 = -40 + 1000 + 4x2

Combine like terms: -40 + 1000 = 960
200 + -3x2 = 960 + 4x2

Solving
200 + -3x2 = 960 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
200 + -3x2 + -4x2 = 960 + 4x2 + -4x2

Combine like terms: -3x2 + -4x2 = -7x2
200 + -7x2 = 960 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
200 + -7x2 = 960 + 0
200 + -7x2 = 960

Add '-200' to each side of the equation.
200 + -200 + -7x2 = 960 + -200

Combine like terms: 200 + -200 = 0
0 + -7x2 = 960 + -200
-7x2 = 960 + -200

Combine like terms: 960 + -200 = 760
-7x2 = 760

Divide each side by '-7'.
x2 = -108.5714286

Simplifying
x2 = -108.5714286

Reorder the terms:
108.5714286 + x2 = -108.5714286 + 108.5714286

Combine like terms: -108.5714286 + 108.5714286 = 0.0000000
108.5714286 + x2 = 0.0000000

The solution to this equation could not be determined.

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