2x^2+5=75

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Solution for 2x^2+5=75 equation:


Simplifying
2x2 + 5 = 75

Reorder the terms:
5 + 2x2 = 75

Solving
5 + 2x2 = 75

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 = 75 + -5

Combine like terms: 5 + -5 = 0
0 + 2x2 = 75 + -5
2x2 = 75 + -5

Combine like terms: 75 + -5 = 70
2x2 = 70

Divide each side by '2'.
x2 = 35

Simplifying
x2 = 35

Take the square root of each side:
x = {-5.916079783, 5.916079783}

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