(z+3)(3x+5)=7

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Solution for (z+3)(3x+5)=7 equation:


Simplifying
(z + 3)(3x + 5) = 7

Reorder the terms:
(3 + z)(3x + 5) = 7

Reorder the terms:
(3 + z)(5 + 3x) = 7

Multiply (3 + z) * (5 + 3x)
(3(5 + 3x) + z(5 + 3x)) = 7
((5 * 3 + 3x * 3) + z(5 + 3x)) = 7
((15 + 9x) + z(5 + 3x)) = 7
(15 + 9x + (5 * z + 3x * z)) = 7

Reorder the terms:
(15 + 9x + (3xz + 5z)) = 7
(15 + 9x + (3xz + 5z)) = 7
(15 + 9x + 3xz + 5z) = 7

Solving
15 + 9x + 3xz + 5z = 7

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + 9x + 3xz + -15 + 5z = 7 + -15

Reorder the terms:
15 + -15 + 9x + 3xz + 5z = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 9x + 3xz + 5z = 7 + -15
9x + 3xz + 5z = 7 + -15

Combine like terms: 7 + -15 = -8
9x + 3xz + 5z = -8

Add '-5z' to each side of the equation.
9x + 3xz + 5z + -5z = -8 + -5z

Combine like terms: 5z + -5z = 0
9x + 3xz + 0 = -8 + -5z
9x + 3xz = -8 + -5z

Reorder the terms:
8 + 9x + 3xz + 5z = -8 + -5z + 8 + 5z

Reorder the terms:
8 + 9x + 3xz + 5z = -8 + 8 + -5z + 5z

Combine like terms: -8 + 8 = 0
8 + 9x + 3xz + 5z = 0 + -5z + 5z
8 + 9x + 3xz + 5z = -5z + 5z

Combine like terms: -5z + 5z = 0
8 + 9x + 3xz + 5z = 0

The solution to this equation could not be determined.

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