5x^2+7=412

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Solution for 5x^2+7=412 equation:


Simplifying
5x2 + 7 = 412

Reorder the terms:
7 + 5x2 = 412

Solving
7 + 5x2 = 412

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 + 5x2 = 412 + -7

Combine like terms: 7 + -7 = 0
0 + 5x2 = 412 + -7
5x2 = 412 + -7

Combine like terms: 412 + -7 = 405
5x2 = 405

Divide each side by '5'.
x2 = 81

Simplifying
x2 = 81

Take the square root of each side:
x = {-9, 9}

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