z^2-14z+49=-144

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Solution for z^2-14z+49=-144 equation:


Simplifying
z2 + -14z + 49 = -144

Reorder the terms:
49 + -14z + z2 = -144

Solving
49 + -14z + z2 = -144

Solving for variable 'z'.

Reorder the terms:
49 + 144 + -14z + z2 = -144 + 144

Combine like terms: 49 + 144 = 193
193 + -14z + z2 = -144 + 144

Combine like terms: -144 + 144 = 0
193 + -14z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-193' to each side of the equation.
193 + -14z + -193 + z2 = 0 + -193

Reorder the terms:
193 + -193 + -14z + z2 = 0 + -193

Combine like terms: 193 + -193 = 0
0 + -14z + z2 = 0 + -193
-14z + z2 = 0 + -193

Combine like terms: 0 + -193 = -193
-14z + z2 = -193

The z term is -14z.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14z + 49 + z2 = -193 + 49

Reorder the terms:
49 + -14z + z2 = -193 + 49

Combine like terms: -193 + 49 = -144
49 + -14z + z2 = -144

Factor a perfect square on the left side:
(z + -7)(z + -7) = -144

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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