1402=10z^2+2

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Solution for 1402=10z^2+2 equation: 


Simplifying
1402 = 10z2 + 2

Reorder the terms:
1402 = 2 + 10z2

Solving
1402 = 2 + 10z2

Solving for variable 'z'.

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

Add '-10z2' to each side of the equation.
1402 + -10z2 = 2 + 10z2 + -10z2

Combine like terms: 10z2 + -10z2 = 0
1402 + -10z2 = 2 + 0
1402 + -10z2 = 2

Add '-1402' to each side of the equation.
1402 + -1402 + -10z2 = 2 + -1402

Combine like terms: 1402 + -1402 = 0
0 + -10z2 = 2 + -1402
-10z2 = 2 + -1402

Combine like terms: 2 + -1402 = -1400
-10z2 = -1400

Divide each side by '-10'.
z2 = 140

Simplifying
z2 = 140

Take the square root of each side:
z = {-11.832159566, 11.832159566}

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