4(x^2-7)=0

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Solution for 4(x^2-7)=0 equation:


Simplifying
4(x2 + -7) = 0

Reorder the terms:
4(-7 + x2) = 0
(-7 * 4 + x2 * 4) = 0
(-28 + 4x2) = 0

Solving
-28 + 4x2 = 0

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 4x2 = 0 + 28

Combine like terms: -28 + 28 = 0
0 + 4x2 = 0 + 28
4x2 = 0 + 28

Combine like terms: 0 + 28 = 28
4x2 = 28

Divide each side by '4'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}

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