4x^2-2=7

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Solution for 4x^2-2=7 equation: 


Simplifying
4x2 + -2 = 7

Reorder the terms:
-2 + 4x2 = 7

Solving
-2 + 4x2 = 7

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 4x2 = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 4x2 = 7 + 2
4x2 = 7 + 2

Combine like terms: 7 + 2 = 9
4x2 = 9

Divide each side by '4'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}

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