64z^2-11=-7

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Solution for 64z^2-11=-7 equation: 


Simplifying
64z2 + -11 = -7

Reorder the terms:
-11 + 64z2 = -7

Solving
-11 + 64z2 = -7

Solving for variable 'z'.

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

Add '11' to each side of the equation.
-11 + 11 + 64z2 = -7 + 11

Combine like terms: -11 + 11 = 0
0 + 64z2 = -7 + 11
64z2 = -7 + 11

Combine like terms: -7 + 11 = 4
64z2 = 4

Divide each side by '64'.
z2 = 0.0625

Simplifying
z2 = 0.0625

Take the square root of each side:
z = {-0.25, 0.25}

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