7-5a=-a(3a+5)

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Solution for 7-5a=-a(3a+5) equation: 


Simplifying
7 + -5a = -1a(3a + 5)

Reorder the terms:
7 + -5a = -1a(5 + 3a)
7 + -5a = (5 * -1a + 3a * -1a)
7 + -5a = (-5a + -3a2)

Add '5a' to each side of the equation.
7 + -5a + 5a = -5a + 5a + -3a2

Combine like terms: -5a + 5a = 0
7 + 0 = -5a + 5a + -3a2
7 = -5a + 5a + -3a2

Combine like terms: -5a + 5a = 0
7 = 0 + -3a2
7 = -3a2

Solving
7 = -3a2

Solving for variable 'a'.

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

Add '3a2' to each side of the equation.
7 + 3a2 = -3a2 + 3a2

Combine like terms: -3a2 + 3a2 = 0
7 + 3a2 = 0

Add '-7' to each side of the equation.
7 + -7 + 3a2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3a2 = 0 + -7
3a2 = 0 + -7

Combine like terms: 0 + -7 = -7
3a2 = -7

Divide each side by '3'.
a2 = -2.333333333

Simplifying
a2 = -2.333333333

Reorder the terms:
2.333333333 + a2 = -2.333333333 + 2.333333333

Combine like terms: -2.333333333 + 2.333333333 = 0.000000000
2.333333333 + a2 = 0.000000000

The solution to this equation could not be determined.

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