(3z+5)*(7z+4)=21z^2+47z+20

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Solution for (3z+5)*(7z+4)=21z^2+47z+20 equation:


Simplifying
(3z + 5)(7z + 4) = 21z2 + 47z + 20

Reorder the terms:
(5 + 3z)(7z + 4) = 21z2 + 47z + 20

Reorder the terms:
(5 + 3z)(4 + 7z) = 21z2 + 47z + 20

Multiply (5 + 3z) * (4 + 7z)
(5(4 + 7z) + 3z * (4 + 7z)) = 21z2 + 47z + 20
((4 * 5 + 7z * 5) + 3z * (4 + 7z)) = 21z2 + 47z + 20
((20 + 35z) + 3z * (4 + 7z)) = 21z2 + 47z + 20
(20 + 35z + (4 * 3z + 7z * 3z)) = 21z2 + 47z + 20
(20 + 35z + (12z + 21z2)) = 21z2 + 47z + 20

Combine like terms: 35z + 12z = 47z
(20 + 47z + 21z2) = 21z2 + 47z + 20

Reorder the terms:
20 + 47z + 21z2 = 20 + 47z + 21z2

Add '-20' to each side of the equation.
20 + 47z + -20 + 21z2 = 20 + 47z + -20 + 21z2

Reorder the terms:
20 + -20 + 47z + 21z2 = 20 + 47z + -20 + 21z2

Combine like terms: 20 + -20 = 0
0 + 47z + 21z2 = 20 + 47z + -20 + 21z2
47z + 21z2 = 20 + 47z + -20 + 21z2

Reorder the terms:
47z + 21z2 = 20 + -20 + 47z + 21z2

Combine like terms: 20 + -20 = 0
47z + 21z2 = 0 + 47z + 21z2
47z + 21z2 = 47z + 21z2

Add '-47z' to each side of the equation.
47z + -47z + 21z2 = 47z + -47z + 21z2

Combine like terms: 47z + -47z = 0
0 + 21z2 = 47z + -47z + 21z2
21z2 = 47z + -47z + 21z2

Combine like terms: 47z + -47z = 0
21z2 = 0 + 21z2
21z2 = 21z2

Add '-21z2' to each side of the equation.
21z2 + -21z2 = 21z2 + -21z2

Combine like terms: 21z2 + -21z2 = 0
0 = 21z2 + -21z2

Combine like terms: 21z2 + -21z2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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