5=10-5x^2

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


Simplifying
5 = 10 + -5x2

Solving
5 = 10 + -5x2

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '5'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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