200=10x^2+5

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Solution for 200=10x^2+5 equation:


Simplifying
200 = 10x2 + 5

Reorder the terms:
200 = 5 + 10x2

Solving
200 = 5 + 10x2

Solving for variable 'x'.

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

Add '-10x2' to each side of the equation.
200 + -10x2 = 5 + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
200 + -10x2 = 5 + 0
200 + -10x2 = 5

Add '-200' to each side of the equation.
200 + -200 + -10x2 = 5 + -200

Combine like terms: 200 + -200 = 0
0 + -10x2 = 5 + -200
-10x2 = 5 + -200

Combine like terms: 5 + -200 = -195
-10x2 = -195

Divide each side by '-10'.
x2 = 19.5

Simplifying
x2 = 19.5

Take the square root of each side:
x = {-4.415880433, 4.415880433}

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