5=4.6x^2-0.5

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Solution for 5=4.6x^2-0.5 equation:


Simplifying
5 = 4.6x2 + -0.5

Reorder the terms:
5 = -0.5 + 4.6x2

Solving
5 = -0.5 + 4.6x2

Solving for variable 'x'.

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

Add '-4.6x2' to each side of the equation.
5 + -4.6x2 = -0.5 + 4.6x2 + -4.6x2

Combine like terms: 4.6x2 + -4.6x2 = 0.0
5 + -4.6x2 = -0.5 + 0.0
5 + -4.6x2 = -0.5

Add '-5' to each side of the equation.
5 + -5 + -4.6x2 = -0.5 + -5

Combine like terms: 5 + -5 = 0
0 + -4.6x2 = -0.5 + -5
-4.6x2 = -0.5 + -5

Combine like terms: -0.5 + -5 = -5.5
-4.6x2 = -5.5

Divide each side by '-4.6'.
x2 = 1.195652174

Simplifying
x2 = 1.195652174

Take the square root of each side:
x = {-1.093458812, 1.093458812}

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