6.4=-0.4x^2+10

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Solution for 6.4=-0.4x^2+10 equation: 


Simplifying
6.4 = -0.4x2 + 10

Reorder the terms:
6.4 = 10 + -0.4x2

Solving
6.4 = 10 + -0.4x2

Solving for variable 'x'.

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

Add '0.4x2' to each side of the equation.
6.4 + 0.4x2 = 10 + -0.4x2 + 0.4x2

Combine like terms: -0.4x2 + 0.4x2 = 0.0
6.4 + 0.4x2 = 10 + 0.0
6.4 + 0.4x2 = 10

Add '-6.4' to each side of the equation.
6.4 + -6.4 + 0.4x2 = 10 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 0.4x2 = 10 + -6.4
0.4x2 = 10 + -6.4

Combine like terms: 10 + -6.4 = 3.6
0.4x2 = 3.6

Divide each side by '0.4'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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