2x^2-5=40

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Solution for 2x^2-5=40 equation:


Simplifying
2x2 + -5 = 40

Reorder the terms:
-5 + 2x2 = 40

Solving
-5 + 2x2 = 40

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 2x2 = 40 + 5

Combine like terms: -5 + 5 = 0
0 + 2x2 = 40 + 5
2x2 = 40 + 5

Combine like terms: 40 + 5 = 45
2x2 = 45

Divide each side by '2'.
x2 = 22.5

Simplifying
x2 = 22.5

Take the square root of each side:
x = {-4.74341649, 4.74341649}

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