10=2x^2+5

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


Simplifying
10 = 2x2 + 5

Reorder the terms:
10 = 5 + 2x2

Solving
10 = 5 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
10 + -2x2 = 5 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
10 + -2x2 = 5 + 0
10 + -2x2 = 5

Add '-10' to each side of the equation.
10 + -10 + -2x2 = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -2x2 = 5 + -10
-2x2 = 5 + -10

Combine like terms: 5 + -10 = -5
-2x2 = -5

Divide each side by '-2'.
x2 = 2.5

Simplifying
x2 = 2.5

Take the square root of each side:
x = {-1.58113883, 1.58113883}

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