.2x^2-7=74

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Solution for .2x^2-7=74 equation:


Simplifying
0.2x2 + -7 = 74

Reorder the terms:
-7 + 0.2x2 = 74

Solving
-7 + 0.2x2 = 74

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 0.2x2 = 74 + 7

Combine like terms: -7 + 7 = 0
0 + 0.2x2 = 74 + 7
0.2x2 = 74 + 7

Combine like terms: 74 + 7 = 81
0.2x2 = 81

Divide each side by '0.2'.
x2 = 405

Simplifying
x2 = 405

Take the square root of each side:
x = {-20.124611797, 20.124611797}

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