(7z+9)(49z^2-63z+81)=

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Solution for (7z+9)(49z^2-63z+81)= equation:


Simplifying
(7z + 9)(49z2 + -63z + 81) = 0

Reorder the terms:
(9 + 7z)(49z2 + -63z + 81) = 0

Reorder the terms:
(9 + 7z)(81 + -63z + 49z2) = 0

Multiply (9 + 7z) * (81 + -63z + 49z2)
(9(81 + -63z + 49z2) + 7z * (81 + -63z + 49z2)) = 0
((81 * 9 + -63z * 9 + 49z2 * 9) + 7z * (81 + -63z + 49z2)) = 0
((729 + -567z + 441z2) + 7z * (81 + -63z + 49z2)) = 0
(729 + -567z + 441z2 + (81 * 7z + -63z * 7z + 49z2 * 7z)) = 0
(729 + -567z + 441z2 + (567z + -441z2 + 343z3)) = 0

Reorder the terms:
(729 + -567z + 567z + 441z2 + -441z2 + 343z3) = 0

Combine like terms: -567z + 567z = 0
(729 + 0 + 441z2 + -441z2 + 343z3) = 0
(729 + 441z2 + -441z2 + 343z3) = 0

Combine like terms: 441z2 + -441z2 = 0
(729 + 0 + 343z3) = 0
(729 + 343z3) = 0

Solving
729 + 343z3 = 0

Solving for variable 'z'.

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

Add '-729' to each side of the equation.
729 + -729 + 343z3 = 0 + -729

Combine like terms: 729 + -729 = 0
0 + 343z3 = 0 + -729
343z3 = 0 + -729

Combine like terms: 0 + -729 = -729
343z3 = -729

Divide each side by '343'.
z3 = -2.125364431

Simplifying
z3 = -2.125364431

Reorder the terms:
2.125364431 + z3 = -2.125364431 + 2.125364431

Combine like terms: -2.125364431 + 2.125364431 = 0.000000000
2.125364431 + z3 = 0.000000000

The solution to this equation could not be determined.

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