(2-a)(5z-7)=0

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Solution for (2-a)(5z-7)=0 equation:


Simplifying
(2 + -1a)(5z + -7) = 0

Reorder the terms:
(2 + -1a)(-7 + 5z) = 0

Multiply (2 + -1a) * (-7 + 5z)
(2(-7 + 5z) + -1a * (-7 + 5z)) = 0
((-7 * 2 + 5z * 2) + -1a * (-7 + 5z)) = 0
((-14 + 10z) + -1a * (-7 + 5z)) = 0
(-14 + 10z + (-7 * -1a + 5z * -1a)) = 0
(-14 + 10z + (7a + -5az)) = 0

Reorder the terms:
(-14 + 7a + -5az + 10z) = 0
(-14 + 7a + -5az + 10z) = 0

Solving
-14 + 7a + -5az + 10z = 0

Solving for variable 'a'.

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

Add '14' to each side of the equation.
-14 + 7a + -5az + 14 + 10z = 0 + 14

Reorder the terms:
-14 + 14 + 7a + -5az + 10z = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 7a + -5az + 10z = 0 + 14
7a + -5az + 10z = 0 + 14

Combine like terms: 0 + 14 = 14
7a + -5az + 10z = 14

Add '-10z' to each side of the equation.
7a + -5az + 10z + -10z = 14 + -10z

Combine like terms: 10z + -10z = 0
7a + -5az + 0 = 14 + -10z
7a + -5az = 14 + -10z

Reorder the terms:
-14 + 7a + -5az + 10z = 14 + -10z + -14 + 10z

Reorder the terms:
-14 + 7a + -5az + 10z = 14 + -14 + -10z + 10z

Combine like terms: 14 + -14 = 0
-14 + 7a + -5az + 10z = 0 + -10z + 10z
-14 + 7a + -5az + 10z = -10z + 10z

Combine like terms: -10z + 10z = 0
-14 + 7a + -5az + 10z = 0

The solution to this equation could not be determined.

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