5x^2+8=18

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Solution for 5x^2+8=18 equation:


Simplifying
5x2 + 8 = 18

Reorder the terms:
8 + 5x2 = 18

Solving
8 + 5x2 = 18

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 5x2 = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 5x2 = 18 + -8
5x2 = 18 + -8

Combine like terms: 18 + -8 = 10
5x2 = 10

Divide each side by '5'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}

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